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Finding the Fourth Proportional to 16,423.86, 22,665.24 and 9,352.02

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Solution

The fourth proportional to 16,423.86, 22,665.24 and 9,352.02 is: 12,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.86 : 22,665.24 = 9,352.02 : x
  2. Step 2: Convert to fraction form
    16,423.86/22,665.24 = 9,352.02/x
  3. Step 3: Cross multiply
    16,423.86x = 22,665.24 × 9,352.02
  4. Step 4: Simplify right side
    16,423.86x = 211,965,777.78
  5. Step 5: Solve for x
    x = 211,965,777.78/16,423.86
  6. Step 6: Final answer
    x = 12,905.97

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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.