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Finding the Fourth Proportional to 13,722.46, 18,937.05 and 7,434.84

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Solution

The fourth proportional to 13,722.46, 18,937.05 and 7,434.84 is: 10,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.46 : 18,937.05 = 7,434.84 : x
  2. Step 2: Convert to fraction form
    13,722.46/18,937.05 = 7,434.84/x
  3. Step 3: Cross multiply
    13,722.46x = 18,937.05 × 7,434.84
  4. Step 4: Simplify right side
    13,722.46x = 140,793,936.82
  5. Step 5: Solve for x
    x = 140,793,936.82/13,722.46
  6. Step 6: Final answer
    x = 10,260.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.