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Finding the Fourth Proportional to 12,638.71, 17,442.60 and 7,261.90

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Solution

The fourth proportional to 12,638.71, 17,442.60 and 7,261.90 is: 10,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.71 : 17,442.60 = 7,261.90 : x
  2. Step 2: Convert to fraction form
    12,638.71/17,442.60 = 7,261.90/x
  3. Step 3: Cross multiply
    12,638.71x = 17,442.60 × 7,261.90
  4. Step 4: Simplify right side
    12,638.71x = 126,666,293.42
  5. Step 5: Solve for x
    x = 126,666,293.42/12,638.71
  6. Step 6: Final answer
    x = 10,022.09

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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.