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Finding the Fourth Proportional to 23,225.25, 32,051.43 and 12,614.88

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Solution

The fourth proportional to 23,225.25, 32,051.43 and 12,614.88 is: 17,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.25 : 32,051.43 = 12,614.88 : x
  2. Step 2: Convert to fraction form
    23,225.25/32,051.43 = 12,614.88/x
  3. Step 3: Cross multiply
    23,225.25x = 32,051.43 × 12,614.88
  4. Step 4: Simplify right side
    23,225.25x = 404,324,943.28
  5. Step 5: Solve for x
    x = 404,324,943.28/23,225.25
  6. Step 6: Final answer
    x = 17,408.85

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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.