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Finding the Fourth Proportional to 12,847.14, 17,726.65 and 7,540.02

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Solution

The fourth proportional to 12,847.14, 17,726.65 and 7,540.02 is: 10,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.14 : 17,726.65 = 7,540.02 : x
  2. Step 2: Convert to fraction form
    12,847.14/17,726.65 = 7,540.02/x
  3. Step 3: Cross multiply
    12,847.14x = 17,726.65 × 7,540.02
  4. Step 4: Simplify right side
    12,847.14x = 133,659,276.68
  5. Step 5: Solve for x
    x = 133,659,276.68/12,847.14
  6. Step 6: Final answer
    x = 10,403.82

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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.