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Finding the Fourth Proportional to 21,691.27, 32,534.02 and 6,110.11

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Solution

The fourth proportional to 21,691.27, 32,534.02 and 6,110.11 is: 9,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.27 : 32,534.02 = 6,110.11 : x
  2. Step 2: Convert to fraction form
    21,691.27/32,534.02 = 6,110.11/x
  3. Step 3: Cross multiply
    21,691.27x = 32,534.02 × 6,110.11
  4. Step 4: Simplify right side
    21,691.27x = 198,786,440.94
  5. Step 5: Solve for x
    x = 198,786,440.94/21,691.27
  6. Step 6: Final answer
    x = 9,164.35

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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.