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Finding the Fourth Proportional to 12,687.34, 19,031.15 and 5,667.71

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Solution

The fourth proportional to 12,687.34, 19,031.15 and 5,667.71 is: 8,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.34 : 19,031.15 = 5,667.71 : x
  2. Step 2: Convert to fraction form
    12,687.34/19,031.15 = 5,667.71/x
  3. Step 3: Cross multiply
    12,687.34x = 19,031.15 × 5,667.71
  4. Step 4: Simplify right side
    12,687.34x = 107,863,039.17
  5. Step 5: Solve for x
    x = 107,863,039.17/12,687.34
  6. Step 6: Final answer
    x = 8,501.63

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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.