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Finding the Fourth Proportional to 12,585.38, 18,879.84 and 4,267.76

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Solution

The fourth proportional to 12,585.38, 18,879.84 and 4,267.76 is: 6,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.38 : 18,879.84 = 4,267.76 : x
  2. Step 2: Convert to fraction form
    12,585.38/18,879.84 = 4,267.76/x
  3. Step 3: Cross multiply
    12,585.38x = 18,879.84 × 4,267.76
  4. Step 4: Simplify right side
    12,585.38x = 80,574,625.96
  5. Step 5: Solve for x
    x = 80,574,625.96/12,585.38
  6. Step 6: Final answer
    x = 6,402.24

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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.