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Finding the Fourth Proportional to 12,730.77, 17,565.26 and 8,539.02

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Solution

The fourth proportional to 12,730.77, 17,565.26 and 8,539.02 is: 11,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.77 : 17,565.26 = 8,539.02 : x
  2. Step 2: Convert to fraction form
    12,730.77/17,565.26 = 8,539.02/x
  3. Step 3: Cross multiply
    12,730.77x = 17,565.26 × 8,539.02
  4. Step 4: Simplify right side
    12,730.77x = 149,990,063.75
  5. Step 5: Solve for x
    x = 149,990,063.75/12,730.77
  6. Step 6: Final answer
    x = 11,781.70

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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.