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Finding the Fourth Proportional to 21,122.11, 31,691.98 and 9,269.76

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Solution

The fourth proportional to 21,122.11, 31,691.98 and 9,269.76 is: 13,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.11 : 31,691.98 = 9,269.76 : x
  2. Step 2: Convert to fraction form
    21,122.11/31,691.98 = 9,269.76/x
  3. Step 3: Cross multiply
    21,122.11x = 31,691.98 × 9,269.76
  4. Step 4: Simplify right side
    21,122.11x = 293,777,048.52
  5. Step 5: Solve for x
    x = 293,777,048.52/21,122.11
  6. Step 6: Final answer
    x = 13,908.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.