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Finding the Fourth Proportional to 12,377.65, 18,569.36 and 4,057.15

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Solution

The fourth proportional to 12,377.65, 18,569.36 and 4,057.15 is: 6,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.65 : 18,569.36 = 4,057.15 : x
  2. Step 2: Convert to fraction form
    12,377.65/18,569.36 = 4,057.15/x
  3. Step 3: Cross multiply
    12,377.65x = 18,569.36 × 4,057.15
  4. Step 4: Simplify right side
    12,377.65x = 75,338,678.92
  5. Step 5: Solve for x
    x = 75,338,678.92/12,377.65
  6. Step 6: Final answer
    x = 6,086.67

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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.