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Finding the Fourth Proportional to 13,823.01, 20,734.65 and 3,434.76

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Solution

The fourth proportional to 13,823.01, 20,734.65 and 3,434.76 is: 5,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.01 : 20,734.65 = 3,434.76 : x
  2. Step 2: Convert to fraction form
    13,823.01/20,734.65 = 3,434.76/x
  3. Step 3: Cross multiply
    13,823.01x = 20,734.65 × 3,434.76
  4. Step 4: Simplify right side
    13,823.01x = 71,218,546.43
  5. Step 5: Solve for x
    x = 71,218,546.43/13,823.01
  6. Step 6: Final answer
    x = 5,152.17

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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.