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Finding the Fourth Proportional to 12,002.27, 16,566.18 and 7,162.22

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Solution

The fourth proportional to 12,002.27, 16,566.18 and 7,162.22 is: 9,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.27 : 16,566.18 = 7,162.22 : x
  2. Step 2: Convert to fraction form
    12,002.27/16,566.18 = 7,162.22/x
  3. Step 3: Cross multiply
    12,002.27x = 16,566.18 × 7,162.22
  4. Step 4: Simplify right side
    12,002.27x = 118,650,625.72
  5. Step 5: Solve for x
    x = 118,650,625.72/12,002.27
  6. Step 6: Final answer
    x = 9,885.68

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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.