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Finding the Fourth Proportional to 15,813.40, 23,717.49 and 6,932.56

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Solution

The fourth proportional to 15,813.40, 23,717.49 and 6,932.56 is: 10,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.40 : 23,717.49 = 6,932.56 : x
  2. Step 2: Convert to fraction form
    15,813.40/23,717.49 = 6,932.56/x
  3. Step 3: Cross multiply
    15,813.40x = 23,717.49 × 6,932.56
  4. Step 4: Simplify right side
    15,813.40x = 164,422,922.47
  5. Step 5: Solve for x
    x = 164,422,922.47/15,813.40
  6. Step 6: Final answer
    x = 10,397.70

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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.