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Finding the Fourth Proportional to 13,586.71, 20,385.92 and 7,351.10

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Solution

The fourth proportional to 13,586.71, 20,385.92 and 7,351.10 is: 11,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.71 : 20,385.92 = 7,351.10 : x
  2. Step 2: Convert to fraction form
    13,586.71/20,385.92 = 7,351.10/x
  3. Step 3: Cross multiply
    13,586.71x = 20,385.92 × 7,351.10
  4. Step 4: Simplify right side
    13,586.71x = 149,858,899.76
  5. Step 5: Solve for x
    x = 149,858,899.76/13,586.71
  6. Step 6: Final answer
    x = 11,029.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.