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Finding the Fourth Proportional to 11,342.68, 16,937.56 and 9,266.78

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Solution

The fourth proportional to 11,342.68, 16,937.56 and 9,266.78 is: 13,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.68 : 16,937.56 = 9,266.78 : x
  2. Step 2: Convert to fraction form
    11,342.68/16,937.56 = 9,266.78/x
  3. Step 3: Cross multiply
    11,342.68x = 16,937.56 × 9,266.78
  4. Step 4: Simplify right side
    11,342.68x = 156,956,696.18
  5. Step 5: Solve for x
    x = 156,956,696.18/11,342.68
  6. Step 6: Final answer
    x = 13,837.71

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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.