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Finding the Fourth Proportional to 12,517.86, 17,276.58 and 7,140.32

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Solution

The fourth proportional to 12,517.86, 17,276.58 and 7,140.32 is: 9,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.86 : 17,276.58 = 7,140.32 : x
  2. Step 2: Convert to fraction form
    12,517.86/17,276.58 = 7,140.32/x
  3. Step 3: Cross multiply
    12,517.86x = 17,276.58 × 7,140.32
  4. Step 4: Simplify right side
    12,517.86x = 123,360,309.71
  5. Step 5: Solve for x
    x = 123,360,309.71/12,517.86
  6. Step 6: Final answer
    x = 9,854.74

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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.