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Finding the Fourth Proportional to 24,560.97, 33,894.14 and 13,382.97

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Solution

The fourth proportional to 24,560.97, 33,894.14 and 13,382.97 is: 18,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,560.97 : 33,894.14 = 13,382.97 : x
  2. Step 2: Convert to fraction form
    24,560.97/33,894.14 = 13,382.97/x
  3. Step 3: Cross multiply
    24,560.97x = 33,894.14 × 13,382.97
  4. Step 4: Simplify right side
    24,560.97x = 453,604,242.07
  5. Step 5: Solve for x
    x = 453,604,242.07/24,560.97
  6. Step 6: Final answer
    x = 18,468.50

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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.