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Finding the Fourth Proportional to 12,377.30, 18,572.34 and 5,804.18

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Solution

The fourth proportional to 12,377.30, 18,572.34 and 5,804.18 is: 8,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.30 : 18,572.34 = 5,804.18 : x
  2. Step 2: Convert to fraction form
    12,377.30/18,572.34 = 5,804.18/x
  3. Step 3: Cross multiply
    12,377.30x = 18,572.34 × 5,804.18
  4. Step 4: Simplify right side
    12,377.30x = 107,797,204.38
  5. Step 5: Solve for x
    x = 107,797,204.38/12,377.30
  6. Step 6: Final answer
    x = 8,709.27

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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.