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Finding the Fourth Proportional to 13,243.27, 18,283.74 and 8,770.86

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Solution

The fourth proportional to 13,243.27, 18,283.74 and 8,770.86 is: 12,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.27 : 18,283.74 = 8,770.86 : x
  2. Step 2: Convert to fraction form
    13,243.27/18,283.74 = 8,770.86/x
  3. Step 3: Cross multiply
    13,243.27x = 18,283.74 × 8,770.86
  4. Step 4: Simplify right side
    13,243.27x = 160,364,123.82
  5. Step 5: Solve for x
    x = 160,364,123.82/13,243.27
  6. Step 6: Final answer
    x = 12,109.10

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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.