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Finding the Fourth Proportional to 11,167.36, 16,741.61 and 9,193.11

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Solution

The fourth proportional to 11,167.36, 16,741.61 and 9,193.11 is: 13,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.36 : 16,741.61 = 9,193.11 : x
  2. Step 2: Convert to fraction form
    11,167.36/16,741.61 = 9,193.11/x
  3. Step 3: Cross multiply
    11,167.36x = 16,741.61 × 9,193.11
  4. Step 4: Simplify right side
    11,167.36x = 153,907,332.63
  5. Step 5: Solve for x
    x = 153,907,332.63/11,167.36
  6. Step 6: Final answer
    x = 13,781.89

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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.