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Finding the Fourth Proportional to 16,588.36, 22,893.60 and 9,517

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Solution

The fourth proportional to 16,588.36, 22,893.60 and 9,517 is: 13,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.36 : 22,893.60 = 9,517 : x
  2. Step 2: Convert to fraction form
    16,588.36/22,893.60 = 9,517/x
  3. Step 3: Cross multiply
    16,588.36x = 22,893.60 × 9,517
  4. Step 4: Simplify right side
    16,588.36x = 217,878,391.20
  5. Step 5: Solve for x
    x = 217,878,391.20/16,588.36
  6. Step 6: Final answer
    x = 13,134.41

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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.