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Finding the Fourth Proportional to 22,358.08, 33,537.12 and 7,567

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Solution

The fourth proportional to 22,358.08, 33,537.12 and 7,567 is: 11,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.08 : 33,537.12 = 7,567 : x
  2. Step 2: Convert to fraction form
    22,358.08/33,537.12 = 7,567/x
  3. Step 3: Cross multiply
    22,358.08x = 33,537.12 × 7,567
  4. Step 4: Simplify right side
    22,358.08x = 253,775,387.04
  5. Step 5: Solve for x
    x = 253,775,387.04/22,358.08
  6. Step 6: Final answer
    x = 11,350.50

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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.