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Finding the Fourth Proportional to 17,564.87, 24,239.52 and 9,607.16

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Solution

The fourth proportional to 17,564.87, 24,239.52 and 9,607.16 is: 13,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.87 : 24,239.52 = 9,607.16 : x
  2. Step 2: Convert to fraction form
    17,564.87/24,239.52 = 9,607.16/x
  3. Step 3: Cross multiply
    17,564.87x = 24,239.52 × 9,607.16
  4. Step 4: Simplify right side
    17,564.87x = 232,872,825.77
  5. Step 5: Solve for x
    x = 232,872,825.77/17,564.87
  6. Step 6: Final answer
    x = 13,257.88

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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.