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Finding the Fourth Proportional to 14,046.50, 19,382.46 and 7,758.92

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Solution

The fourth proportional to 14,046.50, 19,382.46 and 7,758.92 is: 10,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.50 : 19,382.46 = 7,758.92 : x
  2. Step 2: Convert to fraction form
    14,046.50/19,382.46 = 7,758.92/x
  3. Step 3: Cross multiply
    14,046.50x = 19,382.46 × 7,758.92
  4. Step 4: Simplify right side
    14,046.50x = 150,386,956.54
  5. Step 5: Solve for x
    x = 150,386,956.54/14,046.50
  6. Step 6: Final answer
    x = 10,706.37

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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.