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Finding the Fourth Proportional to 22,363, 33,545.64 and 5,723.17

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Solution

The fourth proportional to 22,363, 33,545.64 and 5,723.17 is: 8,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363 : 33,545.64 = 5,723.17 : x
  2. Step 2: Convert to fraction form
    22,363/33,545.64 = 5,723.17/x
  3. Step 3: Cross multiply
    22,363x = 33,545.64 × 5,723.17
  4. Step 4: Simplify right side
    22,363x = 191,987,400.48
  5. Step 5: Solve for x
    x = 191,987,400.48/22,363
  6. Step 6: Final answer
    x = 8,585.05

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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.