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Finding the Fourth Proportional to 15,854.40, 21,879.38 and 9,138.90

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Solution

The fourth proportional to 15,854.40, 21,879.38 and 9,138.90 is: 12,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.40 : 21,879.38 = 9,138.90 : x
  2. Step 2: Convert to fraction form
    15,854.40/21,879.38 = 9,138.90/x
  3. Step 3: Cross multiply
    15,854.40x = 21,879.38 × 9,138.90
  4. Step 4: Simplify right side
    15,854.40x = 199,953,465.88
  5. Step 5: Solve for x
    x = 199,953,465.88/15,854.40
  6. Step 6: Final answer
    x = 12,611.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.