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Finding the Fourth Proportional to 15,921.14, 23,862.06 and 6,555.31

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Solution

The fourth proportional to 15,921.14, 23,862.06 and 6,555.31 is: 9,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.14 : 23,862.06 = 6,555.31 : x
  2. Step 2: Convert to fraction form
    15,921.14/23,862.06 = 6,555.31/x
  3. Step 3: Cross multiply
    15,921.14x = 23,862.06 × 6,555.31
  4. Step 4: Simplify right side
    15,921.14x = 156,423,140.88
  5. Step 5: Solve for x
    x = 156,423,140.88/15,921.14
  6. Step 6: Final answer
    x = 9,824.87

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Why These Related Problems?

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