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Finding the Fourth Proportional to 17,414.02, 24,031.29 and 9,859.61

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Solution

The fourth proportional to 17,414.02, 24,031.29 and 9,859.61 is: 13,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.02 : 24,031.29 = 9,859.61 : x
  2. Step 2: Convert to fraction form
    17,414.02/24,031.29 = 9,859.61/x
  3. Step 3: Cross multiply
    17,414.02x = 24,031.29 × 9,859.61
  4. Step 4: Simplify right side
    17,414.02x = 236,939,098.67
  5. Step 5: Solve for x
    x = 236,939,098.67/17,414.02
  6. Step 6: Final answer
    x = 13,606.22

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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.