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Finding the Fourth Proportional to 20,883.71, 31,341.13 and 8,403.84

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Solution

The fourth proportional to 20,883.71, 31,341.13 and 8,403.84 is: 12,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.71 : 31,341.13 = 8,403.84 : x
  2. Step 2: Convert to fraction form
    20,883.71/31,341.13 = 8,403.84/x
  3. Step 3: Cross multiply
    20,883.71x = 31,341.13 × 8,403.84
  4. Step 4: Simplify right side
    20,883.71x = 263,385,951.81
  5. Step 5: Solve for x
    x = 263,385,951.81/20,883.71
  6. Step 6: Final answer
    x = 12,612.03

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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.