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Finding the Fourth Proportional to 12,911.96, 19,376.12 and 5,516.47

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Solution

The fourth proportional to 12,911.96, 19,376.12 and 5,516.47 is: 8,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.96 : 19,376.12 = 5,516.47 : x
  2. Step 2: Convert to fraction form
    12,911.96/19,376.12 = 5,516.47/x
  3. Step 3: Cross multiply
    12,911.96x = 19,376.12 × 5,516.47
  4. Step 4: Simplify right side
    12,911.96x = 106,887,750.05
  5. Step 5: Solve for x
    x = 106,887,750.05/12,911.96
  6. Step 6: Final answer
    x = 8,278.20

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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.