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Finding the Fourth Proportional to 20,612.71, 30,877.85 and 9,504.19

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Solution

The fourth proportional to 20,612.71, 30,877.85 and 9,504.19 is: 14,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612.71 : 30,877.85 = 9,504.19 : x
  2. Step 2: Convert to fraction form
    20,612.71/30,877.85 = 9,504.19/x
  3. Step 3: Cross multiply
    20,612.71x = 30,877.85 × 9,504.19
  4. Step 4: Simplify right side
    20,612.71x = 293,468,905.67
  5. Step 5: Solve for x
    x = 293,468,905.67/20,612.71
  6. Step 6: Final answer
    x = 14,237.28

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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.