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Finding the Fourth Proportional to 12,302.28, 18,436.41 and 10,654.74

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Solution

The fourth proportional to 12,302.28, 18,436.41 and 10,654.74 is: 15,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.28 : 18,436.41 = 10,654.74 : x
  2. Step 2: Convert to fraction form
    12,302.28/18,436.41 = 10,654.74/x
  3. Step 3: Cross multiply
    12,302.28x = 18,436.41 × 10,654.74
  4. Step 4: Simplify right side
    12,302.28x = 196,435,155.08
  5. Step 5: Solve for x
    x = 196,435,155.08/12,302.28
  6. Step 6: Final answer
    x = 15,967.38

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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.