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Finding the Fourth Proportional to 12,138.18, 18,209.86 and 6,875.67

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Solution

The fourth proportional to 12,138.18, 18,209.86 and 6,875.67 is: 10,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.18 : 18,209.86 = 6,875.67 : x
  2. Step 2: Convert to fraction form
    12,138.18/18,209.86 = 6,875.67/x
  3. Step 3: Cross multiply
    12,138.18x = 18,209.86 × 6,875.67
  4. Step 4: Simplify right side
    12,138.18x = 125,204,988.11
  5. Step 5: Solve for x
    x = 125,204,988.11/12,138.18
  6. Step 6: Final answer
    x = 10,314.97

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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.