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Finding the Fourth Proportional to 15,855.68, 21,880.76 and 9,141.24

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Solution

The fourth proportional to 15,855.68, 21,880.76 and 9,141.24 is: 12,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.68 : 21,880.76 = 9,141.24 : x
  2. Step 2: Convert to fraction form
    15,855.68/21,880.76 = 9,141.24/x
  3. Step 3: Cross multiply
    15,855.68x = 21,880.76 × 9,141.24
  4. Step 4: Simplify right side
    15,855.68x = 200,017,278.54
  5. Step 5: Solve for x
    x = 200,017,278.54/15,855.68
  6. Step 6: Final answer
    x = 12,614.87

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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.