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Finding the Fourth Proportional to 22,048.38, 30,426.75 and 12,616.92

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Solution

The fourth proportional to 22,048.38, 30,426.75 and 12,616.92 is: 17,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.38 : 30,426.75 = 12,616.92 : x
  2. Step 2: Convert to fraction form
    22,048.38/30,426.75 = 12,616.92/x
  3. Step 3: Cross multiply
    22,048.38x = 30,426.75 × 12,616.92
  4. Step 4: Simplify right side
    22,048.38x = 383,891,870.61
  5. Step 5: Solve for x
    x = 383,891,870.61/22,048.38
  6. Step 6: Final answer
    x = 17,411.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.