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Finding the Fourth Proportional to 23,844.60, 32,905.22 and 13,234

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Solution

The fourth proportional to 23,844.60, 32,905.22 and 13,234 is: 18,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.60 : 32,905.22 = 13,234 : x
  2. Step 2: Convert to fraction form
    23,844.60/32,905.22 = 13,234/x
  3. Step 3: Cross multiply
    23,844.60x = 32,905.22 × 13,234
  4. Step 4: Simplify right side
    23,844.60x = 435,467,681.48
  5. Step 5: Solve for x
    x = 435,467,681.48/23,844.60
  6. Step 6: Final answer
    x = 18,262.74

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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.