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Finding the Fourth Proportional to 12,874.19, 19,317.32 and 4,560.49

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Solution

The fourth proportional to 12,874.19, 19,317.32 and 4,560.49 is: 6,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.19 : 19,317.32 = 4,560.49 : x
  2. Step 2: Convert to fraction form
    12,874.19/19,317.32 = 4,560.49/x
  3. Step 3: Cross multiply
    12,874.19x = 19,317.32 × 4,560.49
  4. Step 4: Simplify right side
    12,874.19x = 88,096,444.69
  5. Step 5: Solve for x
    x = 88,096,444.69/12,874.19
  6. Step 6: Final answer
    x = 6,842.87

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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.