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Finding the Fourth Proportional to 12,947.64, 19,377.72 and 7,728

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Solution

The fourth proportional to 12,947.64, 19,377.72 and 7,728 is: 11,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.64 : 19,377.72 = 7,728 : x
  2. Step 2: Convert to fraction form
    12,947.64/19,377.72 = 7,728/x
  3. Step 3: Cross multiply
    12,947.64x = 19,377.72 × 7,728
  4. Step 4: Simplify right side
    12,947.64x = 149,751,020.16
  5. Step 5: Solve for x
    x = 149,751,020.16/12,947.64
  6. Step 6: Final answer
    x = 11,565.89

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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.