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Finding the Fourth Proportional to 24,178.92, 36,268.80 and 6,648.64

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Solution

The fourth proportional to 24,178.92, 36,268.80 and 6,648.64 is: 9,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.92 : 36,268.80 = 6,648.64 : x
  2. Step 2: Convert to fraction form
    24,178.92/36,268.80 = 6,648.64/x
  3. Step 3: Cross multiply
    24,178.92x = 36,268.80 × 6,648.64
  4. Step 4: Simplify right side
    24,178.92x = 241,138,194.43
  5. Step 5: Solve for x
    x = 241,138,194.43/24,178.92
  6. Step 6: Final answer
    x = 9,973.08

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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.