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Finding the Fourth Proportional to 23,224.96, 32,050.68 and 12,614.80

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Solution

The fourth proportional to 23,224.96, 32,050.68 and 12,614.80 is: 17,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.96 : 32,050.68 = 12,614.80 : x
  2. Step 2: Convert to fraction form
    23,224.96/32,050.68 = 12,614.80/x
  3. Step 3: Cross multiply
    23,224.96x = 32,050.68 × 12,614.80
  4. Step 4: Simplify right side
    23,224.96x = 404,312,918.06
  5. Step 5: Solve for x
    x = 404,312,918.06/23,224.96
  6. Step 6: Final answer
    x = 17,408.55

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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.