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Finding the Fourth Proportional to 12,947.85, 17,867.48 and 7,282.50

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Solution

The fourth proportional to 12,947.85, 17,867.48 and 7,282.50 is: 10,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.85 : 17,867.48 = 7,282.50 : x
  2. Step 2: Convert to fraction form
    12,947.85/17,867.48 = 7,282.50/x
  3. Step 3: Cross multiply
    12,947.85x = 17,867.48 × 7,282.50
  4. Step 4: Simplify right side
    12,947.85x = 130,119,886.69
  5. Step 5: Solve for x
    x = 130,119,886.69/12,947.85
  6. Step 6: Final answer
    x = 10,049.54

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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.