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Finding the Fourth Proportional to 12,148.10, 16,765.23 and 6,842.92

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Solution

The fourth proportional to 12,148.10, 16,765.23 and 6,842.92 is: 9,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.10 : 16,765.23 = 6,842.92 : x
  2. Step 2: Convert to fraction form
    12,148.10/16,765.23 = 6,842.92/x
  3. Step 3: Cross multiply
    12,148.10x = 16,765.23 × 6,842.92
  4. Step 4: Simplify right side
    12,148.10x = 114,723,124.09
  5. Step 5: Solve for x
    x = 114,723,124.09/12,148.10
  6. Step 6: Final answer
    x = 9,443.71

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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.