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Finding the Fourth Proportional to 16,424.54, 22,662.51 and 9,349.10

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Solution

The fourth proportional to 16,424.54, 22,662.51 and 9,349.10 is: 12,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.54 : 22,662.51 = 9,349.10 : x
  2. Step 2: Convert to fraction form
    16,424.54/22,662.51 = 9,349.10/x
  3. Step 3: Cross multiply
    16,424.54x = 22,662.51 × 9,349.10
  4. Step 4: Simplify right side
    16,424.54x = 211,874,072.24
  5. Step 5: Solve for x
    x = 211,874,072.24/16,424.54
  6. Step 6: Final answer
    x = 12,899.85

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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.