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Finding the Fourth Proportional to 11,517.36, 17,266.08 and 9,773.76

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Solution

The fourth proportional to 11,517.36, 17,266.08 and 9,773.76 is: 14,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.36 : 17,266.08 = 9,773.76 : x
  2. Step 2: Convert to fraction form
    11,517.36/17,266.08 = 9,773.76/x
  3. Step 3: Cross multiply
    11,517.36x = 17,266.08 × 9,773.76
  4. Step 4: Simplify right side
    11,517.36x = 168,754,522.06
  5. Step 5: Solve for x
    x = 168,754,522.06/11,517.36
  6. Step 6: Final answer
    x = 14,652.19

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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.