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Finding the Fourth Proportional to 23,461.07, 32,377.07 and 12,851.30

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Solution

The fourth proportional to 23,461.07, 32,377.07 and 12,851.30 is: 17,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.07 : 32,377.07 = 12,851.30 : x
  2. Step 2: Convert to fraction form
    23,461.07/32,377.07 = 12,851.30/x
  3. Step 3: Cross multiply
    23,461.07x = 32,377.07 × 12,851.30
  4. Step 4: Simplify right side
    23,461.07x = 416,087,375.43
  5. Step 5: Solve for x
    x = 416,087,375.43/23,461.07
  6. Step 6: Final answer
    x = 17,735.23

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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.