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Finding the Fourth Proportional to 12,881.72, 19,319.28 and 4,112.12

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Solution

The fourth proportional to 12,881.72, 19,319.28 and 4,112.12 is: 6,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.72 : 19,319.28 = 4,112.12 : x
  2. Step 2: Convert to fraction form
    12,881.72/19,319.28 = 4,112.12/x
  3. Step 3: Cross multiply
    12,881.72x = 19,319.28 × 4,112.12
  4. Step 4: Simplify right side
    12,881.72x = 79,443,197.67
  5. Step 5: Solve for x
    x = 79,443,197.67/12,881.72
  6. Step 6: Final answer
    x = 6,167.13

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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.