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Finding the Fourth Proportional to 14,932.92, 20,601.22 and 9,265.76

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Solution

The fourth proportional to 14,932.92, 20,601.22 and 9,265.76 is: 12,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.92 : 20,601.22 = 9,265.76 : x
  2. Step 2: Convert to fraction form
    14,932.92/20,601.22 = 9,265.76/x
  3. Step 3: Cross multiply
    14,932.92x = 20,601.22 × 9,265.76
  4. Step 4: Simplify right side
    14,932.92x = 190,885,960.23
  5. Step 5: Solve for x
    x = 190,885,960.23/14,932.92
  6. Step 6: Final answer
    x = 12,782.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.