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Finding the Fourth Proportional to 12,954.28, 19,436.49 and 10,478.59

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Solution

The fourth proportional to 12,954.28, 19,436.49 and 10,478.59 is: 15,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.28 : 19,436.49 = 10,478.59 : x
  2. Step 2: Convert to fraction form
    12,954.28/19,436.49 = 10,478.59/x
  3. Step 3: Cross multiply
    12,954.28x = 19,436.49 × 10,478.59
  4. Step 4: Simplify right side
    12,954.28x = 203,667,009.75
  5. Step 5: Solve for x
    x = 203,667,009.75/12,954.28
  6. Step 6: Final answer
    x = 15,721.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.