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Finding the Fourth Proportional to 11,131.36, 16,697.58 and 9,180

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Solution

The fourth proportional to 11,131.36, 16,697.58 and 9,180 is: 13,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.36 : 16,697.58 = 9,180 : x
  2. Step 2: Convert to fraction form
    11,131.36/16,697.58 = 9,180/x
  3. Step 3: Cross multiply
    11,131.36x = 16,697.58 × 9,180
  4. Step 4: Simplify right side
    11,131.36x = 153,283,784.40
  5. Step 5: Solve for x
    x = 153,283,784.40/11,131.36
  6. Step 6: Final answer
    x = 13,770.45

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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.