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Finding the Fourth Proportional to 12,339.62, 17,034.30 and 7,869.50

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Solution

The fourth proportional to 12,339.62, 17,034.30 and 7,869.50 is: 10,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.62 : 17,034.30 = 7,869.50 : x
  2. Step 2: Convert to fraction form
    12,339.62/17,034.30 = 7,869.50/x
  3. Step 3: Cross multiply
    12,339.62x = 17,034.30 × 7,869.50
  4. Step 4: Simplify right side
    12,339.62x = 134,051,423.85
  5. Step 5: Solve for x
    x = 134,051,423.85/12,339.62
  6. Step 6: Final answer
    x = 10,863.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.