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Finding the Fourth Proportional to 17,416.76, 24,034.32 and 9,862.92

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Solution

The fourth proportional to 17,416.76, 24,034.32 and 9,862.92 is: 13,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.76 : 24,034.32 = 9,862.92 : x
  2. Step 2: Convert to fraction form
    17,416.76/24,034.32 = 9,862.92/x
  3. Step 3: Cross multiply
    17,416.76x = 24,034.32 × 9,862.92
  4. Step 4: Simplify right side
    17,416.76x = 237,048,479.90
  5. Step 5: Solve for x
    x = 237,048,479.90/17,416.76
  6. Step 6: Final answer
    x = 13,610.37

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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.