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Finding the Fourth Proportional to 11,764.14, 17,531.64 and 11,408.16

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Solution

The fourth proportional to 11,764.14, 17,531.64 and 11,408.16 is: 17,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.14 : 17,531.64 = 11,408.16 : x
  2. Step 2: Convert to fraction form
    11,764.14/17,531.64 = 11,408.16/x
  3. Step 3: Cross multiply
    11,764.14x = 17,531.64 × 11,408.16
  4. Step 4: Simplify right side
    11,764.14x = 200,003,754.18
  5. Step 5: Solve for x
    x = 200,003,754.18/11,764.14
  6. Step 6: Final answer
    x = 17,001.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.