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Finding the Fourth Proportional to 12,753.44, 19,133.88 and 5,354

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Solution

The fourth proportional to 12,753.44, 19,133.88 and 5,354 is: 8,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.44 : 19,133.88 = 5,354 : x
  2. Step 2: Convert to fraction form
    12,753.44/19,133.88 = 5,354/x
  3. Step 3: Cross multiply
    12,753.44x = 19,133.88 × 5,354
  4. Step 4: Simplify right side
    12,753.44x = 102,442,793.52
  5. Step 5: Solve for x
    x = 102,442,793.52/12,753.44
  6. Step 6: Final answer
    x = 8,032.56

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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.