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Finding the Fourth Proportional to 11,142.30, 16,716.50 and 9,918.26

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Solution

The fourth proportional to 11,142.30, 16,716.50 and 9,918.26 is: 14,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.30 : 16,716.50 = 9,918.26 : x
  2. Step 2: Convert to fraction form
    11,142.30/16,716.50 = 9,918.26/x
  3. Step 3: Cross multiply
    11,142.30x = 16,716.50 × 9,918.26
  4. Step 4: Simplify right side
    11,142.30x = 165,798,593.29
  5. Step 5: Solve for x
    x = 165,798,593.29/11,142.30
  6. Step 6: Final answer
    x = 14,880.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.