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Finding the Fourth Proportional to 16,588.84, 22,895.58 and 9,517.60

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Solution

The fourth proportional to 16,588.84, 22,895.58 and 9,517.60 is: 13,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.84 : 22,895.58 = 9,517.60 : x
  2. Step 2: Convert to fraction form
    16,588.84/22,895.58 = 9,517.60/x
  3. Step 3: Cross multiply
    16,588.84x = 22,895.58 × 9,517.60
  4. Step 4: Simplify right side
    16,588.84x = 217,910,972.21
  5. Step 5: Solve for x
    x = 217,910,972.21/16,588.84
  6. Step 6: Final answer
    x = 13,136.00

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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.