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Finding the Fourth Proportional to 16,622.69, 22,940.19 and 9,549.57

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Solution

The fourth proportional to 16,622.69, 22,940.19 and 9,549.57 is: 13,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,622.69 : 22,940.19 = 9,549.57 : x
  2. Step 2: Convert to fraction form
    16,622.69/22,940.19 = 9,549.57/x
  3. Step 3: Cross multiply
    16,622.69x = 22,940.19 × 9,549.57
  4. Step 4: Simplify right side
    16,622.69x = 219,068,864.19
  5. Step 5: Solve for x
    x = 219,068,864.19/16,622.69
  6. Step 6: Final answer
    x = 13,178.91

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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.