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Finding the Fourth Proportional to 17,585.82, 24,265.17 and 10,510.74

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Solution

The fourth proportional to 17,585.82, 24,265.17 and 10,510.74 is: 14,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.82 : 24,265.17 = 10,510.74 : x
  2. Step 2: Convert to fraction form
    17,585.82/24,265.17 = 10,510.74/x
  3. Step 3: Cross multiply
    17,585.82x = 24,265.17 × 10,510.74
  4. Step 4: Simplify right side
    17,585.82x = 255,044,892.93
  5. Step 5: Solve for x
    x = 255,044,892.93/17,585.82
  6. Step 6: Final answer
    x = 14,502.87

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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.