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Finding the Fourth Proportional to 12,275.64, 18,417.06 and 5,251.86

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Solution

The fourth proportional to 12,275.64, 18,417.06 and 5,251.86 is: 7,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.64 : 18,417.06 = 5,251.86 : x
  2. Step 2: Convert to fraction form
    12,275.64/18,417.06 = 5,251.86/x
  3. Step 3: Cross multiply
    12,275.64x = 18,417.06 × 5,251.86
  4. Step 4: Simplify right side
    12,275.64x = 96,723,820.73
  5. Step 5: Solve for x
    x = 96,723,820.73/12,275.64
  6. Step 6: Final answer
    x = 7,879.33

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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.