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Finding the Fourth Proportional to 15,722.68, 23,592.30 and 6,963.64

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Solution

The fourth proportional to 15,722.68, 23,592.30 and 6,963.64 is: 10,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.68 : 23,592.30 = 6,963.64 : x
  2. Step 2: Convert to fraction form
    15,722.68/23,592.30 = 6,963.64/x
  3. Step 3: Cross multiply
    15,722.68x = 23,592.30 × 6,963.64
  4. Step 4: Simplify right side
    15,722.68x = 164,288,283.97
  5. Step 5: Solve for x
    x = 164,288,283.97/15,722.68
  6. Step 6: Final answer
    x = 10,449.13

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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.