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Finding the Fourth Proportional to 11,132.36, 16,699.08 and 9,181

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Solution

The fourth proportional to 11,132.36, 16,699.08 and 9,181 is: 13,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.36 : 16,699.08 = 9,181 : x
  2. Step 2: Convert to fraction form
    11,132.36/16,699.08 = 9,181/x
  3. Step 3: Cross multiply
    11,132.36x = 16,699.08 × 9,181
  4. Step 4: Simplify right side
    11,132.36x = 153,314,253.48
  5. Step 5: Solve for x
    x = 153,314,253.48/11,132.36
  6. Step 6: Final answer
    x = 13,771.95

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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.