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Finding the Fourth Proportional to 20,888.29, 31,340.64 and 9,193.31

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Solution

The fourth proportional to 20,888.29, 31,340.64 and 9,193.31 is: 13,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.29 : 31,340.64 = 9,193.31 : x
  2. Step 2: Convert to fraction form
    20,888.29/31,340.64 = 9,193.31/x
  3. Step 3: Cross multiply
    20,888.29x = 31,340.64 × 9,193.31
  4. Step 4: Simplify right side
    20,888.29x = 288,124,219.12
  5. Step 5: Solve for x
    x = 288,124,219.12/20,888.29
  6. Step 6: Final answer
    x = 13,793.58

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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.