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Finding the Fourth Proportional to 15,872.59, 23,809.37 and 6,983.31

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Solution

The fourth proportional to 15,872.59, 23,809.37 and 6,983.31 is: 10,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.59 : 23,809.37 = 6,983.31 : x
  2. Step 2: Convert to fraction form
    15,872.59/23,809.37 = 6,983.31/x
  3. Step 3: Cross multiply
    15,872.59x = 23,809.37 × 6,983.31
  4. Step 4: Simplify right side
    15,872.59x = 166,268,211.61
  5. Step 5: Solve for x
    x = 166,268,211.61/15,872.59
  6. Step 6: Final answer
    x = 10,475.18

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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.