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Finding the Fourth Proportional to 24,624, 33,960.96 and 15,194.88

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Solution

The fourth proportional to 24,624, 33,960.96 and 15,194.88 is: 20,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 33,960.96 = 15,194.88 : x
  2. Step 2: Convert to fraction form
    24,624/33,960.96 = 15,194.88/x
  3. Step 3: Cross multiply
    24,624x = 33,960.96 × 15,194.88
  4. Step 4: Simplify right side
    24,624x = 516,032,711.88
  5. Step 5: Solve for x
    x = 516,032,711.88/24,624
  6. Step 6: Final answer
    x = 20,956.49

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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.