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Finding the Fourth Proportional to 12,937.88, 17,854.27 and 7,349.96

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Solution

The fourth proportional to 12,937.88, 17,854.27 and 7,349.96 is: 10,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.88 : 17,854.27 = 7,349.96 : x
  2. Step 2: Convert to fraction form
    12,937.88/17,854.27 = 7,349.96/x
  3. Step 3: Cross multiply
    12,937.88x = 17,854.27 × 7,349.96
  4. Step 4: Simplify right side
    12,937.88x = 131,228,062.68
  5. Step 5: Solve for x
    x = 131,228,062.68/12,937.88
  6. Step 6: Final answer
    x = 10,142.94

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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.