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Finding the Fourth Proportional to 23,452.90, 32,365.02 and 12,697.86

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Solution

The fourth proportional to 23,452.90, 32,365.02 and 12,697.86 is: 17,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.90 : 32,365.02 = 12,697.86 : x
  2. Step 2: Convert to fraction form
    23,452.90/32,365.02 = 12,697.86/x
  3. Step 3: Cross multiply
    23,452.90x = 32,365.02 × 12,697.86
  4. Step 4: Simplify right side
    23,452.90x = 410,966,492.86
  5. Step 5: Solve for x
    x = 410,966,492.86/23,452.90
  6. Step 6: Final answer
    x = 17,523.06

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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.