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Finding the Fourth Proportional to 12,878.19, 19,321.54 and 5,488.86

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Solution

The fourth proportional to 12,878.19, 19,321.54 and 5,488.86 is: 8,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.19 : 19,321.54 = 5,488.86 : x
  2. Step 2: Convert to fraction form
    12,878.19/19,321.54 = 5,488.86/x
  3. Step 3: Cross multiply
    12,878.19x = 19,321.54 × 5,488.86
  4. Step 4: Simplify right side
    12,878.19x = 106,053,286.78
  5. Step 5: Solve for x
    x = 106,053,286.78/12,878.19
  6. Step 6: Final answer
    x = 8,235.11

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