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Finding the Fourth Proportional to 12,262.72, 18,368.16 and 10,177.78

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Solution

The fourth proportional to 12,262.72, 18,368.16 and 10,177.78 is: 15,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.72 : 18,368.16 = 10,177.78 : x
  2. Step 2: Convert to fraction form
    12,262.72/18,368.16 = 10,177.78/x
  3. Step 3: Cross multiply
    12,262.72x = 18,368.16 × 10,177.78
  4. Step 4: Simplify right side
    12,262.72x = 186,947,091.48
  5. Step 5: Solve for x
    x = 186,947,091.48/12,262.72
  6. Step 6: Final answer
    x = 15,245.16

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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.