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Finding the Fourth Proportional to 24,545.31, 36,807.03 and 8,952

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Solution

The fourth proportional to 24,545.31, 36,807.03 and 8,952 is: 13,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545.31 : 36,807.03 = 8,952 : x
  2. Step 2: Convert to fraction form
    24,545.31/36,807.03 = 8,952/x
  3. Step 3: Cross multiply
    24,545.31x = 36,807.03 × 8,952
  4. Step 4: Simplify right side
    24,545.31x = 329,496,532.56
  5. Step 5: Solve for x
    x = 329,496,532.56/24,545.31
  6. Step 6: Final answer
    x = 13,424.01

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Why These Related Problems?

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