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Finding the Fourth Proportional to 24,718.76, 34,112.74 and 13,540.76

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Solution

The fourth proportional to 24,718.76, 34,112.74 and 13,540.76 is: 18,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.76 : 34,112.74 = 13,540.76 : x
  2. Step 2: Convert to fraction form
    24,718.76/34,112.74 = 13,540.76/x
  3. Step 3: Cross multiply
    24,718.76x = 34,112.74 × 13,540.76
  4. Step 4: Simplify right side
    24,718.76x = 461,912,425.28
  5. Step 5: Solve for x
    x = 461,912,425.28/24,718.76
  6. Step 6: Final answer
    x = 18,686.72

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1.5x scale

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.