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Finding the Fourth Proportional to 16,034, 22,129.32 and 10,456.88

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Solution

The fourth proportional to 16,034, 22,129.32 and 10,456.88 is: 14,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034 : 22,129.32 = 10,456.88 : x
  2. Step 2: Convert to fraction form
    16,034/22,129.32 = 10,456.88/x
  3. Step 3: Cross multiply
    16,034x = 22,129.32 × 10,456.88
  4. Step 4: Simplify right side
    16,034x = 231,403,643.72
  5. Step 5: Solve for x
    x = 231,403,643.72/16,034
  6. Step 6: Final answer
    x = 14,432.06

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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.