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Finding the Fourth Proportional to 11,266.56, 16,817.76 and 10,342.08

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Solution

The fourth proportional to 11,266.56, 16,817.76 and 10,342.08 is: 15,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.56 : 16,817.76 = 10,342.08 : x
  2. Step 2: Convert to fraction form
    11,266.56/16,817.76 = 10,342.08/x
  3. Step 3: Cross multiply
    11,266.56x = 16,817.76 × 10,342.08
  4. Step 4: Simplify right side
    11,266.56x = 173,930,619.34
  5. Step 5: Solve for x
    x = 173,930,619.34/11,266.56
  6. Step 6: Final answer
    x = 15,437.78

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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.