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Finding the Fourth Proportional to 20,677.18, 31,015.05 and 5,886.18

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Solution

The fourth proportional to 20,677.18, 31,015.05 and 5,886.18 is: 8,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.18 : 31,015.05 = 5,886.18 : x
  2. Step 2: Convert to fraction form
    20,677.18/31,015.05 = 5,886.18/x
  3. Step 3: Cross multiply
    20,677.18x = 31,015.05 × 5,886.18
  4. Step 4: Simplify right side
    20,677.18x = 182,560,167.01
  5. Step 5: Solve for x
    x = 182,560,167.01/20,677.18
  6. Step 6: Final answer
    x = 8,829.07

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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.