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Finding the Fourth Proportional to 15,535.40, 21,438.14 and 8,820.09

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Solution

The fourth proportional to 15,535.40, 21,438.14 and 8,820.09 is: 12,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.40 : 21,438.14 = 8,820.09 : x
  2. Step 2: Convert to fraction form
    15,535.40/21,438.14 = 8,820.09/x
  3. Step 3: Cross multiply
    15,535.40x = 21,438.14 × 8,820.09
  4. Step 4: Simplify right side
    15,535.40x = 189,086,280.13
  5. Step 5: Solve for x
    x = 189,086,280.13/15,535.40
  6. Step 6: Final answer
    x = 12,171.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.