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Finding the Fourth Proportional to 24,626.24, 33,984 and 13,448

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Solution

The fourth proportional to 24,626.24, 33,984 and 13,448 is: 18,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626.24 : 33,984 = 13,448 : x
  2. Step 2: Convert to fraction form
    24,626.24/33,984 = 13,448/x
  3. Step 3: Cross multiply
    24,626.24x = 33,984 × 13,448
  4. Step 4: Simplify right side
    24,626.24x = 457,016,832
  5. Step 5: Solve for x
    x = 457,016,832/24,626.24
  6. Step 6: Final answer
    x = 18,558.12

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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.