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Finding the Fourth Proportional to 12,806.01, 17,672.36 and 7,141.10

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Solution

The fourth proportional to 12,806.01, 17,672.36 and 7,141.10 is: 9,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.01 : 17,672.36 = 7,141.10 : x
  2. Step 2: Convert to fraction form
    12,806.01/17,672.36 = 7,141.10/x
  3. Step 3: Cross multiply
    12,806.01x = 17,672.36 × 7,141.10
  4. Step 4: Simplify right side
    12,806.01x = 126,200,090.00
  5. Step 5: Solve for x
    x = 126,200,090.00/12,806.01
  6. Step 6: Final answer
    x = 9,854.75

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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.