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Finding the Fourth Proportional to 14,046.30, 19,382.49 and 7,758.27

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Solution

The fourth proportional to 14,046.30, 19,382.49 and 7,758.27 is: 10,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.30 : 19,382.49 = 7,758.27 : x
  2. Step 2: Convert to fraction form
    14,046.30/19,382.49 = 7,758.27/x
  3. Step 3: Cross multiply
    14,046.30x = 19,382.49 × 7,758.27
  4. Step 4: Simplify right side
    14,046.30x = 150,374,590.69
  5. Step 5: Solve for x
    x = 150,374,590.69/14,046.30
  6. Step 6: Final answer
    x = 10,705.64

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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.