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Finding the Fourth Proportional to 12,002.51, 17,998.01 and 5,672.12

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Solution

The fourth proportional to 12,002.51, 17,998.01 and 5,672.12 is: 8,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.51 : 17,998.01 = 5,672.12 : x
  2. Step 2: Convert to fraction form
    12,002.51/17,998.01 = 5,672.12/x
  3. Step 3: Cross multiply
    12,002.51x = 17,998.01 × 5,672.12
  4. Step 4: Simplify right side
    12,002.51x = 102,086,754.13
  5. Step 5: Solve for x
    x = 102,086,754.13/12,002.51
  6. Step 6: Final answer
    x = 8,505.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.