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Finding the Fourth Proportional to 21,569.68, 29,787.24 and 14,122

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Solution

The fourth proportional to 21,569.68, 29,787.24 and 14,122 is: 19,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.68 : 29,787.24 = 14,122 : x
  2. Step 2: Convert to fraction form
    21,569.68/29,787.24 = 14,122/x
  3. Step 3: Cross multiply
    21,569.68x = 29,787.24 × 14,122
  4. Step 4: Simplify right side
    21,569.68x = 420,655,403.28
  5. Step 5: Solve for x
    x = 420,655,403.28/21,569.68
  6. Step 6: Final answer
    x = 19,502.16

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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.