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Finding the Fourth Proportional to 12,378.12, 17,074.92 and 7,337.49

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Solution

The fourth proportional to 12,378.12, 17,074.92 and 7,337.49 is: 10,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.12 : 17,074.92 = 7,337.49 : x
  2. Step 2: Convert to fraction form
    12,378.12/17,074.92 = 7,337.49/x
  3. Step 3: Cross multiply
    12,378.12x = 17,074.92 × 7,337.49
  4. Step 4: Simplify right side
    12,378.12x = 125,287,054.75
  5. Step 5: Solve for x
    x = 125,287,054.75/12,378.12
  6. Step 6: Final answer
    x = 10,121.65

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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.