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Finding the Fourth Proportional to 17,742.60, 24,469.74 and 10,667.70

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Solution

The fourth proportional to 17,742.60, 24,469.74 and 10,667.70 is: 14,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.60 : 24,469.74 = 10,667.70 : x
  2. Step 2: Convert to fraction form
    17,742.60/24,469.74 = 10,667.70/x
  3. Step 3: Cross multiply
    17,742.60x = 24,469.74 × 10,667.70
  4. Step 4: Simplify right side
    17,742.60x = 261,035,845.40
  5. Step 5: Solve for x
    x = 261,035,845.40/17,742.60
  6. Step 6: Final answer
    x = 14,712.38

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Why These Related Problems?

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