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Finding the Fourth Proportional to 24,991.28, 34,488 and 14,380.70

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Solution

The fourth proportional to 24,991.28, 34,488 and 14,380.70 is: 19,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,991.28 : 34,488 = 14,380.70 : x
  2. Step 2: Convert to fraction form
    24,991.28/34,488 = 14,380.70/x
  3. Step 3: Cross multiply
    24,991.28x = 34,488 × 14,380.70
  4. Step 4: Simplify right side
    24,991.28x = 495,961,581.60
  5. Step 5: Solve for x
    x = 495,961,581.60/24,991.28
  6. Step 6: Final answer
    x = 19,845.39

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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.