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Finding the Fourth Proportional to 25,049.76, 34,569.76 and 13,871.76

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Solution

The fourth proportional to 25,049.76, 34,569.76 and 13,871.76 is: 19,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.76 : 34,569.76 = 13,871.76 : x
  2. Step 2: Convert to fraction form
    25,049.76/34,569.76 = 13,871.76/x
  3. Step 3: Cross multiply
    25,049.76x = 34,569.76 × 13,871.76
  4. Step 4: Simplify right side
    25,049.76x = 479,543,413.98
  5. Step 5: Solve for x
    x = 479,543,413.98/25,049.76
  6. Step 6: Final answer
    x = 19,143.63

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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.