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Finding the Fourth Proportional to 12,874.86, 19,317.96 and 5,480.10

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Solution

The fourth proportional to 12,874.86, 19,317.96 and 5,480.10 is: 8,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.86 : 19,317.96 = 5,480.10 : x
  2. Step 2: Convert to fraction form
    12,874.86/19,317.96 = 5,480.10/x
  3. Step 3: Cross multiply
    12,874.86x = 19,317.96 × 5,480.10
  4. Step 4: Simplify right side
    12,874.86x = 105,864,352.60
  5. Step 5: Solve for x
    x = 105,864,352.60/12,874.86
  6. Step 6: Final answer
    x = 8,222.56

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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.