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Finding the Fourth Proportional to 14,707.72, 22,049.17 and 6,381.47

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Solution

The fourth proportional to 14,707.72, 22,049.17 and 6,381.47 is: 9,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.72 : 22,049.17 = 6,381.47 : x
  2. Step 2: Convert to fraction form
    14,707.72/22,049.17 = 6,381.47/x
  3. Step 3: Cross multiply
    14,707.72x = 22,049.17 × 6,381.47
  4. Step 4: Simplify right side
    14,707.72x = 140,706,116.88
  5. Step 5: Solve for x
    x = 140,706,116.88/14,707.72
  6. Step 6: Final answer
    x = 9,566.82

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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.