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Finding the Fourth Proportional to 24,736.70, 34,138.02 and 14,129.78

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Solution

The fourth proportional to 24,736.70, 34,138.02 and 14,129.78 is: 19,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736.70 : 34,138.02 = 14,129.78 : x
  2. Step 2: Convert to fraction form
    24,736.70/34,138.02 = 14,129.78/x
  3. Step 3: Cross multiply
    24,736.70x = 34,138.02 × 14,129.78
  4. Step 4: Simplify right side
    24,736.70x = 482,362,712.24
  5. Step 5: Solve for x
    x = 482,362,712.24/24,736.70
  6. Step 6: Final answer
    x = 19,499.88

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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.