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Finding the Fourth Proportional to 12,148.58, 18,207.23 and 5,896.49

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Solution

The fourth proportional to 12,148.58, 18,207.23 and 5,896.49 is: 8,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.58 : 18,207.23 = 5,896.49 : x
  2. Step 2: Convert to fraction form
    12,148.58/18,207.23 = 5,896.49/x
  3. Step 3: Cross multiply
    12,148.58x = 18,207.23 × 5,896.49
  4. Step 4: Simplify right side
    12,148.58x = 107,358,765.66
  5. Step 5: Solve for x
    x = 107,358,765.66/12,148.58
  6. Step 6: Final answer
    x = 8,837.15

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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.