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Finding the Fourth Proportional to 12,947.94, 17,867.63 and 7,644.47

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Solution

The fourth proportional to 12,947.94, 17,867.63 and 7,644.47 is: 10,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.94 : 17,867.63 = 7,644.47 : x
  2. Step 2: Convert to fraction form
    12,947.94/17,867.63 = 7,644.47/x
  3. Step 3: Cross multiply
    12,947.94x = 17,867.63 × 7,644.47
  4. Step 4: Simplify right side
    12,947.94x = 136,588,433.95
  5. Step 5: Solve for x
    x = 136,588,433.95/12,947.94
  6. Step 6: Final answer
    x = 10,549.05

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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.