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Finding the Fourth Proportional to 12,319.38, 18,479.07 and 7,382.84

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Solution

The fourth proportional to 12,319.38, 18,479.07 and 7,382.84 is: 11,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.38 : 18,479.07 = 7,382.84 : x
  2. Step 2: Convert to fraction form
    12,319.38/18,479.07 = 7,382.84/x
  3. Step 3: Cross multiply
    12,319.38x = 18,479.07 × 7,382.84
  4. Step 4: Simplify right side
    12,319.38x = 136,428,017.16
  5. Step 5: Solve for x
    x = 136,428,017.16/12,319.38
  6. Step 6: Final answer
    x = 11,074.26

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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.