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Finding the Fourth Proportional to 23,357.71, 32,234.32 and 12,748.03

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Solution

The fourth proportional to 23,357.71, 32,234.32 and 12,748.03 is: 17,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.71 : 32,234.32 = 12,748.03 : x
  2. Step 2: Convert to fraction form
    23,357.71/32,234.32 = 12,748.03/x
  3. Step 3: Cross multiply
    23,357.71x = 32,234.32 × 12,748.03
  4. Step 4: Simplify right side
    23,357.71x = 410,924,078.39
  5. Step 5: Solve for x
    x = 410,924,078.39/23,357.71
  6. Step 6: Final answer
    x = 17,592.65

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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.