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Finding the Fourth Proportional to 13,447.34, 20,127.87 and 7,191.71

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Solution

The fourth proportional to 13,447.34, 20,127.87 and 7,191.71 is: 10,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.34 : 20,127.87 = 7,191.71 : x
  2. Step 2: Convert to fraction form
    13,447.34/20,127.87 = 7,191.71/x
  3. Step 3: Cross multiply
    13,447.34x = 20,127.87 × 7,191.71
  4. Step 4: Simplify right side
    13,447.34x = 144,753,703.32
  5. Step 5: Solve for x
    x = 144,753,703.32/13,447.34
  6. Step 6: Final answer
    x = 10,764.49

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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.