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Finding the Fourth Proportional to 16,209.06, 22,368.33 and 9,136.14

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Solution

The fourth proportional to 16,209.06, 22,368.33 and 9,136.14 is: 12,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.06 : 22,368.33 = 9,136.14 : x
  2. Step 2: Convert to fraction form
    16,209.06/22,368.33 = 9,136.14/x
  3. Step 3: Cross multiply
    16,209.06x = 22,368.33 × 9,136.14
  4. Step 4: Simplify right side
    16,209.06x = 204,360,194.45
  5. Step 5: Solve for x
    x = 204,360,194.45/16,209.06
  6. Step 6: Final answer
    x = 12,607.78

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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.