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Finding the Fourth Proportional to 22,545.32, 33,807.72 and 9,389.84

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Solution

The fourth proportional to 22,545.32, 33,807.72 and 9,389.84 is: 14,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.32 : 33,807.72 = 9,389.84 : x
  2. Step 2: Convert to fraction form
    22,545.32/33,807.72 = 9,389.84/x
  3. Step 3: Cross multiply
    22,545.32x = 33,807.72 × 9,389.84
  4. Step 4: Simplify right side
    22,545.32x = 317,449,081.56
  5. Step 5: Solve for x
    x = 317,449,081.56/22,545.32
  6. Step 6: Final answer
    x = 14,080.49

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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.