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Finding the Fourth Proportional to 16,102.72, 22,217.54 and 9,295.07

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Solution

The fourth proportional to 16,102.72, 22,217.54 and 9,295.07 is: 12,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.72 : 22,217.54 = 9,295.07 : x
  2. Step 2: Convert to fraction form
    16,102.72/22,217.54 = 9,295.07/x
  3. Step 3: Cross multiply
    16,102.72x = 22,217.54 × 9,295.07
  4. Step 4: Simplify right side
    16,102.72x = 206,513,668.31
  5. Step 5: Solve for x
    x = 206,513,668.31/16,102.72
  6. Step 6: Final answer
    x = 12,824.77

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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.