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Finding the Fourth Proportional to 17,489, 24,134.52 and 9,531.32

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Solution

The fourth proportional to 17,489, 24,134.52 and 9,531.32 is: 13,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489 : 24,134.52 = 9,531.32 : x
  2. Step 2: Convert to fraction form
    17,489/24,134.52 = 9,531.32/x
  3. Step 3: Cross multiply
    17,489x = 24,134.52 × 9,531.32
  4. Step 4: Simplify right side
    17,489x = 230,033,833.17
  5. Step 5: Solve for x
    x = 230,033,833.17/17,489
  6. Step 6: Final answer
    x = 13,153.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.