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Finding the Fourth Proportional to 14,749.81, 20,353.20 and 8,780.31

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Solution

The fourth proportional to 14,749.81, 20,353.20 and 8,780.31 is: 12,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749.81 : 20,353.20 = 8,780.31 : x
  2. Step 2: Convert to fraction form
    14,749.81/20,353.20 = 8,780.31/x
  3. Step 3: Cross multiply
    14,749.81x = 20,353.20 × 8,780.31
  4. Step 4: Simplify right side
    14,749.81x = 178,707,405.49
  5. Step 5: Solve for x
    x = 178,707,405.49/14,749.81
  6. Step 6: Final answer
    x = 12,115.91

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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.