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Finding the Fourth Proportional to 22,335.70, 33,507.20 and 7,545.50

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Solution

The fourth proportional to 22,335.70, 33,507.20 and 7,545.50 is: 11,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.70 : 33,507.20 = 7,545.50 : x
  2. Step 2: Convert to fraction form
    22,335.70/33,507.20 = 7,545.50/x
  3. Step 3: Cross multiply
    22,335.70x = 33,507.20 × 7,545.50
  4. Step 4: Simplify right side
    22,335.70x = 252,828,577.60
  5. Step 5: Solve for x
    x = 252,828,577.60/22,335.70
  6. Step 6: Final answer
    x = 11,319.48

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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.