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Finding the Fourth Proportional to 17,956.52, 24,776.24 and 10,402.40

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Solution

The fourth proportional to 17,956.52, 24,776.24 and 10,402.40 is: 14,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.52 : 24,776.24 = 10,402.40 : x
  2. Step 2: Convert to fraction form
    17,956.52/24,776.24 = 10,402.40/x
  3. Step 3: Cross multiply
    17,956.52x = 24,776.24 × 10,402.40
  4. Step 4: Simplify right side
    17,956.52x = 257,732,358.98
  5. Step 5: Solve for x
    x = 257,732,358.98/17,956.52
  6. Step 6: Final answer
    x = 14,353.14

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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.