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Finding the Fourth Proportional to 12,002.42, 17,994.89 and 5,675.06

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Solution

The fourth proportional to 12,002.42, 17,994.89 and 5,675.06 is: 8,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.42 : 17,994.89 = 5,675.06 : x
  2. Step 2: Convert to fraction form
    12,002.42/17,994.89 = 5,675.06/x
  3. Step 3: Cross multiply
    12,002.42x = 17,994.89 × 5,675.06
  4. Step 4: Simplify right side
    12,002.42x = 102,121,962.09
  5. Step 5: Solve for x
    x = 102,121,962.09/12,002.42
  6. Step 6: Final answer
    x = 8,508.45

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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.