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Finding the Fourth Proportional to 13,254.65, 18,291.77 and 7,205.30

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Solution

The fourth proportional to 13,254.65, 18,291.77 and 7,205.30 is: 9,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.65 : 18,291.77 = 7,205.30 : x
  2. Step 2: Convert to fraction form
    13,254.65/18,291.77 = 7,205.30/x
  3. Step 3: Cross multiply
    13,254.65x = 18,291.77 × 7,205.30
  4. Step 4: Simplify right side
    13,254.65x = 131,797,709.27
  5. Step 5: Solve for x
    x = 131,797,709.27/13,254.65
  6. Step 6: Final answer
    x = 9,943.51

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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.