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Finding the Fourth Proportional to 21,978,823.80, 32,968,235.70 and 11,229,281.40

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Solution

The fourth proportional to 21,978,823.80, 32,968,235.70 and 11,229,281.40 is: 16,843,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978,823.80 : 32,968,235.70 = 11,229,281.40 : x
  2. Step 2: Convert to fraction form
    21,978,823.80/32,968,235.70 = 11,229,281.40/x
  3. Step 3: Cross multiply
    21,978,823.80x = 32,968,235.70 × 11,229,281.40
  4. Step 4: Simplify right side
    21,978,823.80x = 370,209,595,936,826
  5. Step 5: Solve for x
    x = 370,209,595,936,826/21,978,823.80
  6. Step 6: Final answer
    x = 16,843,922.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.