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Finding the Fourth Proportional to 24,723.50, 34,119.88 and 14,116.46

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Solution

The fourth proportional to 24,723.50, 34,119.88 and 14,116.46 is: 19,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723.50 : 34,119.88 = 14,116.46 : x
  2. Step 2: Convert to fraction form
    24,723.50/34,119.88 = 14,116.46/x
  3. Step 3: Cross multiply
    24,723.50x = 34,119.88 × 14,116.46
  4. Step 4: Simplify right side
    24,723.50x = 481,651,921.22
  5. Step 5: Solve for x
    x = 481,651,921.22/24,723.50
  6. Step 6: Final answer
    x = 19,481.54

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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.