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Finding the Fourth Proportional to 23,461.89, 32,377.42 and 12,851.90

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Solution

The fourth proportional to 23,461.89, 32,377.42 and 12,851.90 is: 17,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.89 : 32,377.42 = 12,851.90 : x
  2. Step 2: Convert to fraction form
    23,461.89/32,377.42 = 12,851.90/x
  3. Step 3: Cross multiply
    23,461.89x = 32,377.42 × 12,851.90
  4. Step 4: Simplify right side
    23,461.89x = 416,111,364.10
  5. Step 5: Solve for x
    x = 416,111,364.10/23,461.89
  6. Step 6: Final answer
    x = 17,735.63

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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.