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Finding the Fourth Proportional to 22,654.52, 33,980.84 and 11,561

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Solution

The fourth proportional to 22,654.52, 33,980.84 and 11,561 is: 17,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.52 : 33,980.84 = 11,561 : x
  2. Step 2: Convert to fraction form
    22,654.52/33,980.84 = 11,561/x
  3. Step 3: Cross multiply
    22,654.52x = 33,980.84 × 11,561
  4. Step 4: Simplify right side
    22,654.52x = 392,852,491.24
  5. Step 5: Solve for x
    x = 392,852,491.24/22,654.52
  6. Step 6: Final answer
    x = 17,341.02

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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.