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Finding the Fourth Proportional to 12,002.08, 17,988.24 and 9,377.44

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Solution

The fourth proportional to 12,002.08, 17,988.24 and 9,377.44 is: 14,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.08 : 17,988.24 = 9,377.44 : x
  2. Step 2: Convert to fraction form
    12,002.08/17,988.24 = 9,377.44/x
  3. Step 3: Cross multiply
    12,002.08x = 17,988.24 × 9,377.44
  4. Step 4: Simplify right side
    12,002.08x = 168,683,641.31
  5. Step 5: Solve for x
    x = 168,683,641.31/12,002.08
  6. Step 6: Final answer
    x = 14,054.53

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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.