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Finding the Fourth Proportional to 12,878.32, 19,324.32 and 5,087.20

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Solution

The fourth proportional to 12,878.32, 19,324.32 and 5,087.20 is: 7,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.32 : 19,324.32 = 5,087.20 : x
  2. Step 2: Convert to fraction form
    12,878.32/19,324.32 = 5,087.20/x
  3. Step 3: Cross multiply
    12,878.32x = 19,324.32 × 5,087.20
  4. Step 4: Simplify right side
    12,878.32x = 98,306,680.70
  5. Step 5: Solve for x
    x = 98,306,680.70/12,878.32
  6. Step 6: Final answer
    x = 7,633.50

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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.