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Finding the Fourth Proportional to 21,620.25, 32,432.13 and 6,830.01

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Solution

The fourth proportional to 21,620.25, 32,432.13 and 6,830.01 is: 10,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.25 : 32,432.13 = 6,830.01 : x
  2. Step 2: Convert to fraction form
    21,620.25/32,432.13 = 6,830.01/x
  3. Step 3: Cross multiply
    21,620.25x = 32,432.13 × 6,830.01
  4. Step 4: Simplify right side
    21,620.25x = 221,511,772.22
  5. Step 5: Solve for x
    x = 221,511,772.22/21,620.25
  6. Step 6: Final answer
    x = 10,245.57

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