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Finding the Fourth Proportional to 14,044.53, 19,382.67 and 7,758.12

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Solution

The fourth proportional to 14,044.53, 19,382.67 and 7,758.12 is: 10,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.53 : 19,382.67 = 7,758.12 : x
  2. Step 2: Convert to fraction form
    14,044.53/19,382.67 = 7,758.12/x
  3. Step 3: Cross multiply
    14,044.53x = 19,382.67 × 7,758.12
  4. Step 4: Simplify right side
    14,044.53x = 150,373,079.78
  5. Step 5: Solve for x
    x = 150,373,079.78/14,044.53
  6. Step 6: Final answer
    x = 10,706.88

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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.