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Finding the Fourth Proportional to 15,729.24, 21,684.64 and 12,553.24

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Solution

The fourth proportional to 15,729.24, 21,684.64 and 12,553.24 is: 17,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.24 : 21,684.64 = 12,553.24 : x
  2. Step 2: Convert to fraction form
    15,729.24/21,684.64 = 12,553.24/x
  3. Step 3: Cross multiply
    15,729.24x = 21,684.64 × 12,553.24
  4. Step 4: Simplify right side
    15,729.24x = 272,212,490.23
  5. Step 5: Solve for x
    x = 272,212,490.23/15,729.24
  6. Step 6: Final answer
    x = 17,306.14

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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.