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Finding the Fourth Proportional to 24,454.71, 33,747.03 and 14,384.25

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Solution

The fourth proportional to 24,454.71, 33,747.03 and 14,384.25 is: 19,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.71 : 33,747.03 = 14,384.25 : x
  2. Step 2: Convert to fraction form
    24,454.71/33,747.03 = 14,384.25/x
  3. Step 3: Cross multiply
    24,454.71x = 33,747.03 × 14,384.25
  4. Step 4: Simplify right side
    24,454.71x = 485,425,716.28
  5. Step 5: Solve for x
    x = 485,425,716.28/24,454.71
  6. Step 6: Final answer
    x = 19,849.99

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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.