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Finding the Fourth Proportional to 24,871.80, 34,323.03 and 13,541.12

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Solution

The fourth proportional to 24,871.80, 34,323.03 and 13,541.12 is: 18,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.80 : 34,323.03 = 13,541.12 : x
  2. Step 2: Convert to fraction form
    24,871.80/34,323.03 = 13,541.12/x
  3. Step 3: Cross multiply
    24,871.80x = 34,323.03 × 13,541.12
  4. Step 4: Simplify right side
    24,871.80x = 464,772,096.38
  5. Step 5: Solve for x
    x = 464,772,096.38/24,871.80
  6. Step 6: Final answer
    x = 18,686.71

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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.