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Finding the Fourth Proportional to 23,224.30, 32,049.51 and 12,613.94

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Solution

The fourth proportional to 23,224.30, 32,049.51 and 12,613.94 is: 17,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.30 : 32,049.51 = 12,613.94 : x
  2. Step 2: Convert to fraction form
    23,224.30/32,049.51 = 12,613.94/x
  3. Step 3: Cross multiply
    23,224.30x = 32,049.51 × 12,613.94
  4. Step 4: Simplify right side
    23,224.30x = 404,270,508.81
  5. Step 5: Solve for x
    x = 404,270,508.81/23,224.30
  6. Step 6: Final answer
    x = 17,407.22

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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.