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Finding the Fourth Proportional to 23,346.70, 32,218.44 and 13,274.92

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Solution

The fourth proportional to 23,346.70, 32,218.44 and 13,274.92 is: 18,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,346.70 : 32,218.44 = 13,274.92 : x
  2. Step 2: Convert to fraction form
    23,346.70/32,218.44 = 13,274.92/x
  3. Step 3: Cross multiply
    23,346.70x = 32,218.44 × 13,274.92
  4. Step 4: Simplify right side
    23,346.70x = 427,697,213.52
  5. Step 5: Solve for x
    x = 427,697,213.52/23,346.70
  6. Step 6: Final answer
    x = 18,319.39

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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.