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Finding the Fourth Proportional to 12,144.28, 16,754.16 and 7,667.95

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Solution

The fourth proportional to 12,144.28, 16,754.16 and 7,667.95 is: 10,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.28 : 16,754.16 = 7,667.95 : x
  2. Step 2: Convert to fraction form
    12,144.28/16,754.16 = 7,667.95/x
  3. Step 3: Cross multiply
    12,144.28x = 16,754.16 × 7,667.95
  4. Step 4: Simplify right side
    12,144.28x = 128,470,061.17
  5. Step 5: Solve for x
    x = 128,470,061.17/12,144.28
  6. Step 6: Final answer
    x = 10,578.65

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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.