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Finding the Fourth Proportional to 16,616.86, 22,930.23 and 9,165.02

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Solution

The fourth proportional to 16,616.86, 22,930.23 and 9,165.02 is: 12,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.86 : 22,930.23 = 9,165.02 : x
  2. Step 2: Convert to fraction form
    16,616.86/22,930.23 = 9,165.02/x
  3. Step 3: Cross multiply
    16,616.86x = 22,930.23 × 9,165.02
  4. Step 4: Simplify right side
    16,616.86x = 210,156,016.55
  5. Step 5: Solve for x
    x = 210,156,016.55/16,616.86
  6. Step 6: Final answer
    x = 12,647.16

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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.