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Finding the Fourth Proportional to 16,136, 22,269.83 and 9,767.73

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Solution

The fourth proportional to 16,136, 22,269.83 and 9,767.73 is: 13,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136 : 22,269.83 = 9,767.73 : x
  2. Step 2: Convert to fraction form
    16,136/22,269.83 = 9,767.73/x
  3. Step 3: Cross multiply
    16,136x = 22,269.83 × 9,767.73
  4. Step 4: Simplify right side
    16,136x = 217,525,686.59
  5. Step 5: Solve for x
    x = 217,525,686.59/16,136
  6. Step 6: Final answer
    x = 13,480.77

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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.