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Finding the Fourth Proportional to 24,870.92, 34,322 and 13,540.48

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Solution

The fourth proportional to 24,870.92, 34,322 and 13,540.48 is: 18,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.92 : 34,322 = 13,540.48 : x
  2. Step 2: Convert to fraction form
    24,870.92/34,322 = 13,540.48/x
  3. Step 3: Cross multiply
    24,870.92x = 34,322 × 13,540.48
  4. Step 4: Simplify right side
    24,870.92x = 464,736,354.56
  5. Step 5: Solve for x
    x = 464,736,354.56/24,870.92
  6. Step 6: Final answer
    x = 18,685.93

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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.