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Finding the Fourth Proportional to 20,881.80, 31,329.90 and 9,203.40

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Solution

The fourth proportional to 20,881.80, 31,329.90 and 9,203.40 is: 13,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.80 : 31,329.90 = 9,203.40 : x
  2. Step 2: Convert to fraction form
    20,881.80/31,329.90 = 9,203.40/x
  3. Step 3: Cross multiply
    20,881.80x = 31,329.90 × 9,203.40
  4. Step 4: Simplify right side
    20,881.80x = 288,341,601.66
  5. Step 5: Solve for x
    x = 288,341,601.66/20,881.80
  6. Step 6: Final answer
    x = 13,808.27

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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.