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Finding the Fourth Proportional to 21,406.44, 29,569.14 and 16,432.14

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Solution

The fourth proportional to 21,406.44, 29,569.14 and 16,432.14 is: 22,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.44 : 29,569.14 = 16,432.14 : x
  2. Step 2: Convert to fraction form
    21,406.44/29,569.14 = 16,432.14/x
  3. Step 3: Cross multiply
    21,406.44x = 29,569.14 × 16,432.14
  4. Step 4: Simplify right side
    21,406.44x = 485,884,248.16
  5. Step 5: Solve for x
    x = 485,884,248.16/21,406.44
  6. Step 6: Final answer
    x = 22,698.04

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