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Finding the Fourth Proportional to 12,385.85, 17,091.34 and 7,349.20

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Solution

The fourth proportional to 12,385.85, 17,091.34 and 7,349.20 is: 10,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.85 : 17,091.34 = 7,349.20 : x
  2. Step 2: Convert to fraction form
    12,385.85/17,091.34 = 7,349.20/x
  3. Step 3: Cross multiply
    12,385.85x = 17,091.34 × 7,349.20
  4. Step 4: Simplify right side
    12,385.85x = 125,607,614.83
  5. Step 5: Solve for x
    x = 125,607,614.83/12,385.85
  6. Step 6: Final answer
    x = 10,141.22

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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.