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Finding the Fourth Proportional to 25,049.32, 34,570.38 and 13,871.32

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Solution

The fourth proportional to 25,049.32, 34,570.38 and 13,871.32 is: 19,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.32 : 34,570.38 = 13,871.32 : x
  2. Step 2: Convert to fraction form
    25,049.32/34,570.38 = 13,871.32/x
  3. Step 3: Cross multiply
    25,049.32x = 34,570.38 × 13,871.32
  4. Step 4: Simplify right side
    25,049.32x = 479,536,803.50
  5. Step 5: Solve for x
    x = 479,536,803.50/25,049.32
  6. Step 6: Final answer
    x = 19,143.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.