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Finding the Fourth Proportional to 22,952.70, 34,402.05 and 13,101.30

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Solution

The fourth proportional to 22,952.70, 34,402.05 and 13,101.30 is: 19,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.70 : 34,402.05 = 13,101.30 : x
  2. Step 2: Convert to fraction form
    22,952.70/34,402.05 = 13,101.30/x
  3. Step 3: Cross multiply
    22,952.70x = 34,402.05 × 13,101.30
  4. Step 4: Simplify right side
    22,952.70x = 450,711,577.67
  5. Step 5: Solve for x
    x = 450,711,577.67/22,952.70
  6. Step 6: Final answer
    x = 19,636.54

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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.