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Finding the Fourth Proportional to 12,947.59, 17,868.11 and 7,642.29

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Solution

The fourth proportional to 12,947.59, 17,868.11 and 7,642.29 is: 10,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.59 : 17,868.11 = 7,642.29 : x
  2. Step 2: Convert to fraction form
    12,947.59/17,868.11 = 7,642.29/x
  3. Step 3: Cross multiply
    12,947.59x = 17,868.11 × 7,642.29
  4. Step 4: Simplify right side
    12,947.59x = 136,553,278.37
  5. Step 5: Solve for x
    x = 136,553,278.37/12,947.59
  6. Step 6: Final answer
    x = 10,546.62

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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.