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Finding the Fourth Proportional to 20,866.41, 31,309.74 and 9,178.11

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Solution

The fourth proportional to 20,866.41, 31,309.74 and 9,178.11 is: 13,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.41 : 31,309.74 = 9,178.11 : x
  2. Step 2: Convert to fraction form
    20,866.41/31,309.74 = 9,178.11/x
  3. Step 3: Cross multiply
    20,866.41x = 31,309.74 × 9,178.11
  4. Step 4: Simplify right side
    20,866.41x = 287,364,237.79
  5. Step 5: Solve for x
    x = 287,364,237.79/20,866.41
  6. Step 6: Final answer
    x = 13,771.62

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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.