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Finding the Fourth Proportional to 24,468.78, 36,701.82 and 6,938.64

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Solution

The fourth proportional to 24,468.78, 36,701.82 and 6,938.64 is: 10,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.78 : 36,701.82 = 6,938.64 : x
  2. Step 2: Convert to fraction form
    24,468.78/36,701.82 = 6,938.64/x
  3. Step 3: Cross multiply
    24,468.78x = 36,701.82 × 6,938.64
  4. Step 4: Simplify right side
    24,468.78x = 254,660,716.32
  5. Step 5: Solve for x
    x = 254,660,716.32/24,468.78
  6. Step 6: Final answer
    x = 10,407.58

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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.