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Finding the Fourth Proportional to 22,264.72, 33,398.16 and 18,362

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Solution

The fourth proportional to 22,264.72, 33,398.16 and 18,362 is: 27,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.72 : 33,398.16 = 18,362 : x
  2. Step 2: Convert to fraction form
    22,264.72/33,398.16 = 18,362/x
  3. Step 3: Cross multiply
    22,264.72x = 33,398.16 × 18,362
  4. Step 4: Simplify right side
    22,264.72x = 613,257,013.92
  5. Step 5: Solve for x
    x = 613,257,013.92/22,264.72
  6. Step 6: Final answer
    x = 27,543.89

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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.