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Finding the Fourth Proportional to 24,971.28, 34,460.31 and 13,793.28

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Solution

The fourth proportional to 24,971.28, 34,460.31 and 13,793.28 is: 19,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.28 : 34,460.31 = 13,793.28 : x
  2. Step 2: Convert to fraction form
    24,971.28/34,460.31 = 13,793.28/x
  3. Step 3: Cross multiply
    24,971.28x = 34,460.31 × 13,793.28
  4. Step 4: Simplify right side
    24,971.28x = 475,320,704.72
  5. Step 5: Solve for x
    x = 475,320,704.72/24,971.28
  6. Step 6: Final answer
    x = 19,034.70

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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.