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Finding the Fourth Proportional to 20,883.80, 31,332.90 and 9,205.40

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Solution

The fourth proportional to 20,883.80, 31,332.90 and 9,205.40 is: 13,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.80 : 31,332.90 = 9,205.40 : x
  2. Step 2: Convert to fraction form
    20,883.80/31,332.90 = 9,205.40/x
  3. Step 3: Cross multiply
    20,883.80x = 31,332.90 × 9,205.40
  4. Step 4: Simplify right side
    20,883.80x = 288,431,877.66
  5. Step 5: Solve for x
    x = 288,431,877.66/20,883.80
  6. Step 6: Final answer
    x = 13,811.27

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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.