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Finding the Fourth Proportional to 16,588.40, 22,892.00 and 9,136.40

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Solution

The fourth proportional to 16,588.40, 22,892.00 and 9,136.40 is: 12,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.40 : 22,892.00 = 9,136.40 : x
  2. Step 2: Convert to fraction form
    16,588.40/22,892.00 = 9,136.40/x
  3. Step 3: Cross multiply
    16,588.40x = 22,892.00 × 9,136.40
  4. Step 4: Simplify right side
    16,588.40x = 209,150,308.66
  5. Step 5: Solve for x
    x = 209,150,308.66/16,588.40
  6. Step 6: Final answer
    x = 12,608.23

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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.