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Finding the Fourth Proportional to 22,892.10, 34,402.64 and 13,536.50

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Solution

The fourth proportional to 22,892.10, 34,402.64 and 13,536.50 is: 20,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.10 : 34,402.64 = 13,536.50 : x
  2. Step 2: Convert to fraction form
    22,892.10/34,402.64 = 13,536.50/x
  3. Step 3: Cross multiply
    22,892.10x = 34,402.64 × 13,536.50
  4. Step 4: Simplify right side
    22,892.10x = 465,691,096.66
  5. Step 5: Solve for x
    x = 465,691,096.66/22,892.10
  6. Step 6: Final answer
    x = 20,342.87

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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.