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Finding the Fourth Proportional to 16,135.75, 22,269.49 and 9,767.48

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Solution

The fourth proportional to 16,135.75, 22,269.49 and 9,767.48 is: 13,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.75 : 22,269.49 = 9,767.48 : x
  2. Step 2: Convert to fraction form
    16,135.75/22,269.49 = 9,767.48/x
  3. Step 3: Cross multiply
    16,135.75x = 22,269.49 × 9,767.48
  4. Step 4: Simplify right side
    16,135.75x = 217,516,798.19
  5. Step 5: Solve for x
    x = 217,516,798.19/16,135.75
  6. Step 6: Final answer
    x = 13,480.43

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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.