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Finding the Fourth Proportional to 23,452.96, 32,365.14 and 12,697.95

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Solution

The fourth proportional to 23,452.96, 32,365.14 and 12,697.95 is: 17,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.96 : 32,365.14 = 12,697.95 : x
  2. Step 2: Convert to fraction form
    23,452.96/32,365.14 = 12,697.95/x
  3. Step 3: Cross multiply
    23,452.96x = 32,365.14 × 12,697.95
  4. Step 4: Simplify right side
    23,452.96x = 410,970,929.46
  5. Step 5: Solve for x
    x = 410,970,929.46/23,452.96
  6. Step 6: Final answer
    x = 17,523.20

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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.