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Finding the Fourth Proportional to 13,266.28, 18,307.97 and 7,297.82

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Solution

The fourth proportional to 13,266.28, 18,307.97 and 7,297.82 is: 10,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.28 : 18,307.97 = 7,297.82 : x
  2. Step 2: Convert to fraction form
    13,266.28/18,307.97 = 7,297.82/x
  3. Step 3: Cross multiply
    13,266.28x = 18,307.97 × 7,297.82
  4. Step 4: Simplify right side
    13,266.28x = 133,608,330.16
  5. Step 5: Solve for x
    x = 133,608,330.16/13,266.28
  6. Step 6: Final answer
    x = 10,071.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.