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Finding the Fourth Proportional to 12,851.10, 17,734.23 and 7,261.98

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Solution

The fourth proportional to 12,851.10, 17,734.23 and 7,261.98 is: 10,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.10 : 17,734.23 = 7,261.98 : x
  2. Step 2: Convert to fraction form
    12,851.10/17,734.23 = 7,261.98/x
  3. Step 3: Cross multiply
    12,851.10x = 17,734.23 × 7,261.98
  4. Step 4: Simplify right side
    12,851.10x = 128,785,623.58
  5. Step 5: Solve for x
    x = 128,785,623.58/12,851.10
  6. Step 6: Final answer
    x = 10,021.37

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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.