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Finding the Fourth Proportional to 13,277.65, 18,323.16 and 7,227.87

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Solution

The fourth proportional to 13,277.65, 18,323.16 and 7,227.87 is: 9,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.65 : 18,323.16 = 7,227.87 : x
  2. Step 2: Convert to fraction form
    13,277.65/18,323.16 = 7,227.87/x
  3. Step 3: Cross multiply
    13,277.65x = 18,323.16 × 7,227.87
  4. Step 4: Simplify right side
    13,277.65x = 132,437,418.47
  5. Step 5: Solve for x
    x = 132,437,418.47/13,277.65
  6. Step 6: Final answer
    x = 9,974.46

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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.