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Finding the Fourth Proportional to 14,231.16, 19,639.80 and 7,943.76

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Solution

The fourth proportional to 14,231.16, 19,639.80 and 7,943.76 is: 10,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.16 : 19,639.80 = 7,943.76 : x
  2. Step 2: Convert to fraction form
    14,231.16/19,639.80 = 7,943.76/x
  3. Step 3: Cross multiply
    14,231.16x = 19,639.80 × 7,943.76
  4. Step 4: Simplify right side
    14,231.16x = 156,013,857.65
  5. Step 5: Solve for x
    x = 156,013,857.65/14,231.16
  6. Step 6: Final answer
    x = 10,962.83

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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.