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Finding the Fourth Proportional to 12,947.65, 17,848.74 and 9,159.15

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Solution

The fourth proportional to 12,947.65, 17,848.74 and 9,159.15 is: 12,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.65 : 17,848.74 = 9,159.15 : x
  2. Step 2: Convert to fraction form
    12,947.65/17,848.74 = 9,159.15/x
  3. Step 3: Cross multiply
    12,947.65x = 17,848.74 × 9,159.15
  4. Step 4: Simplify right side
    12,947.65x = 163,479,286.97
  5. Step 5: Solve for x
    x = 163,479,286.97/12,947.65
  6. Step 6: Final answer
    x = 12,626.17

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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.