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Finding the Fourth Proportional to 17,565.67, 24,240.36 and 9,607.78

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Solution

The fourth proportional to 17,565.67, 24,240.36 and 9,607.78 is: 13,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.67 : 24,240.36 = 9,607.78 : x
  2. Step 2: Convert to fraction form
    17,565.67/24,240.36 = 9,607.78/x
  3. Step 3: Cross multiply
    17,565.67x = 24,240.36 × 9,607.78
  4. Step 4: Simplify right side
    17,565.67x = 232,896,046.00
  5. Step 5: Solve for x
    x = 232,896,046.00/17,565.67
  6. Step 6: Final answer
    x = 13,258.59

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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.