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Finding the Fourth Proportional to 24,448, 36,672 and 8,865.64

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Solution

The fourth proportional to 24,448, 36,672 and 8,865.64 is: 13,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448 : 36,672 = 8,865.64 : x
  2. Step 2: Convert to fraction form
    24,448/36,672 = 8,865.64/x
  3. Step 3: Cross multiply
    24,448x = 36,672 × 8,865.64
  4. Step 4: Simplify right side
    24,448x = 325,120,750.08
  5. Step 5: Solve for x
    x = 325,120,750.08/24,448
  6. Step 6: Final answer
    x = 13,298.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.