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Finding the Fourth Proportional to 24,971.25, 34,460.34 and 13,793.25

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Solution

The fourth proportional to 24,971.25, 34,460.34 and 13,793.25 is: 19,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.25 : 34,460.34 = 13,793.25 : x
  2. Step 2: Convert to fraction form
    24,971.25/34,460.34 = 13,793.25/x
  3. Step 3: Cross multiply
    24,971.25x = 34,460.34 × 13,793.25
  4. Step 4: Simplify right side
    24,971.25x = 475,320,084.71
  5. Step 5: Solve for x
    x = 475,320,084.71/24,971.25
  6. Step 6: Final answer
    x = 19,034.69

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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.