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Finding the Fourth Proportional to 15,871.64, 23,805.38 and 4,185.78

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Solution

The fourth proportional to 15,871.64, 23,805.38 and 4,185.78 is: 6,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.64 : 23,805.38 = 4,185.78 : x
  2. Step 2: Convert to fraction form
    15,871.64/23,805.38 = 4,185.78/x
  3. Step 3: Cross multiply
    15,871.64x = 23,805.38 × 4,185.78
  4. Step 4: Simplify right side
    15,871.64x = 99,644,083.50
  5. Step 5: Solve for x
    x = 99,644,083.50/15,871.64
  6. Step 6: Final answer
    x = 6,278.12

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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.