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Finding the Fourth Proportional to 12,565.76, 17,335.68 and 7,589.12

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Solution

The fourth proportional to 12,565.76, 17,335.68 and 7,589.12 is: 10,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.76 : 17,335.68 = 7,589.12 : x
  2. Step 2: Convert to fraction form
    12,565.76/17,335.68 = 7,589.12/x
  3. Step 3: Cross multiply
    12,565.76x = 17,335.68 × 7,589.12
  4. Step 4: Simplify right side
    12,565.76x = 131,562,555.80
  5. Step 5: Solve for x
    x = 131,562,555.80/12,565.76
  6. Step 6: Final answer
    x = 10,469.92

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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.