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Finding the Fourth Proportional to 24,719.97, 34,113.24 and 14,109.78

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Solution

The fourth proportional to 24,719.97, 34,113.24 and 14,109.78 is: 19,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.97 : 34,113.24 = 14,109.78 : x
  2. Step 2: Convert to fraction form
    24,719.97/34,113.24 = 14,109.78/x
  3. Step 3: Cross multiply
    24,719.97x = 34,113.24 × 14,109.78
  4. Step 4: Simplify right side
    24,719.97x = 481,330,311.49
  5. Step 5: Solve for x
    x = 481,330,311.49/24,719.97
  6. Step 6: Final answer
    x = 19,471.31

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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.