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Finding the Fourth Proportional to 22,325.52, 33,488.37 and 7,534.50

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Solution

The fourth proportional to 22,325.52, 33,488.37 and 7,534.50 is: 11,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325.52 : 33,488.37 = 7,534.50 : x
  2. Step 2: Convert to fraction form
    22,325.52/33,488.37 = 7,534.50/x
  3. Step 3: Cross multiply
    22,325.52x = 33,488.37 × 7,534.50
  4. Step 4: Simplify right side
    22,325.52x = 252,318,123.77
  5. Step 5: Solve for x
    x = 252,318,123.77/22,325.52
  6. Step 6: Final answer
    x = 11,301.78

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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.