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Finding the Fourth Proportional to 24,294, 33,523.20 and 14,221.92

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Solution

The fourth proportional to 24,294, 33,523.20 and 14,221.92 is: 19,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 33,523.20 = 14,221.92 : x
  2. Step 2: Convert to fraction form
    24,294/33,523.20 = 14,221.92/x
  3. Step 3: Cross multiply
    24,294x = 33,523.20 × 14,221.92
  4. Step 4: Simplify right side
    24,294x = 476,764,268.54
  5. Step 5: Solve for x
    x = 476,764,268.54/24,294
  6. Step 6: Final answer
    x = 19,624.77

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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.