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Finding the Fourth Proportional to 24,072.81, 36,109.22 and 6,545.22

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Solution

The fourth proportional to 24,072.81, 36,109.22 and 6,545.22 is: 9,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072.81 : 36,109.22 = 6,545.22 : x
  2. Step 2: Convert to fraction form
    24,072.81/36,109.22 = 6,545.22/x
  3. Step 3: Cross multiply
    24,072.81x = 36,109.22 × 6,545.22
  4. Step 4: Simplify right side
    24,072.81x = 236,342,756.20
  5. Step 5: Solve for x
    x = 236,342,756.20/24,072.81
  6. Step 6: Final answer
    x = 9,817.83

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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.