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Finding the Fourth Proportional to 19,589.17, 29,380 and 5,545.81

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Solution

The fourth proportional to 19,589.17, 29,380 and 5,545.81 is: 8,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.17 : 29,380 = 5,545.81 : x
  2. Step 2: Convert to fraction form
    19,589.17/29,380 = 5,545.81/x
  3. Step 3: Cross multiply
    19,589.17x = 29,380 × 5,545.81
  4. Step 4: Simplify right side
    19,589.17x = 162,935,897.80
  5. Step 5: Solve for x
    x = 162,935,897.80/19,589.17
  6. Step 6: Final answer
    x = 8,317.65

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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.