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Finding the Fourth Proportional to 20,881.93, 31,328.01 and 6,842.71

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Solution

The fourth proportional to 20,881.93, 31,328.01 and 6,842.71 is: 10,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.93 : 31,328.01 = 6,842.71 : x
  2. Step 2: Convert to fraction form
    20,881.93/31,328.01 = 6,842.71/x
  3. Step 3: Cross multiply
    20,881.93x = 31,328.01 × 6,842.71
  4. Step 4: Simplify right side
    20,881.93x = 214,368,487.31
  5. Step 5: Solve for x
    x = 214,368,487.31/20,881.93
  6. Step 6: Final answer
    x = 10,265.74

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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.