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Finding the Fourth Proportional to 12,475.85, 18,721.47 and 5,811.17

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Solution

The fourth proportional to 12,475.85, 18,721.47 and 5,811.17 is: 8,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.85 : 18,721.47 = 5,811.17 : x
  2. Step 2: Convert to fraction form
    12,475.85/18,721.47 = 5,811.17/x
  3. Step 3: Cross multiply
    12,475.85x = 18,721.47 × 5,811.17
  4. Step 4: Simplify right side
    12,475.85x = 108,793,644.82
  5. Step 5: Solve for x
    x = 108,793,644.82/12,475.85
  6. Step 6: Final answer
    x = 8,720.34

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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.