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Finding the Fourth Proportional to 21,456.64, 32,140.68 and 15,916.24

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Solution

The fourth proportional to 21,456.64, 32,140.68 and 15,916.24 is: 23,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.64 : 32,140.68 = 15,916.24 : x
  2. Step 2: Convert to fraction form
    21,456.64/32,140.68 = 15,916.24/x
  3. Step 3: Cross multiply
    21,456.64x = 32,140.68 × 15,916.24
  4. Step 4: Simplify right side
    21,456.64x = 511,558,776.64
  5. Step 5: Solve for x
    x = 511,558,776.64/21,456.64
  6. Step 6: Final answer
    x = 23,841.51

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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.