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Finding the Fourth Proportional to 17,522.98, 24,182.17 and 9,565.94

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Solution

The fourth proportional to 17,522.98, 24,182.17 and 9,565.94 is: 13,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.98 : 24,182.17 = 9,565.94 : x
  2. Step 2: Convert to fraction form
    17,522.98/24,182.17 = 9,565.94/x
  3. Step 3: Cross multiply
    17,522.98x = 24,182.17 × 9,565.94
  4. Step 4: Simplify right side
    17,522.98x = 231,325,187.29
  5. Step 5: Solve for x
    x = 231,325,187.29/17,522.98
  6. Step 6: Final answer
    x = 13,201.25

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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.