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Finding the Fourth Proportional to 21,509.55, 32,264.87 and 10,414.17

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Solution

The fourth proportional to 21,509.55, 32,264.87 and 10,414.17 is: 15,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.55 : 32,264.87 = 10,414.17 : x
  2. Step 2: Convert to fraction form
    21,509.55/32,264.87 = 10,414.17/x
  3. Step 3: Cross multiply
    21,509.55x = 32,264.87 × 10,414.17
  4. Step 4: Simplify right side
    21,509.55x = 336,011,789.14
  5. Step 5: Solve for x
    x = 336,011,789.14/21,509.55
  6. Step 6: Final answer
    x = 15,621.52

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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.