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Finding the Fourth Proportional to 13,798.76, 20,681.92 and 7,228.04

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Solution

The fourth proportional to 13,798.76, 20,681.92 and 7,228.04 is: 10,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.76 : 20,681.92 = 7,228.04 : x
  2. Step 2: Convert to fraction form
    13,798.76/20,681.92 = 7,228.04/x
  3. Step 3: Cross multiply
    13,798.76x = 20,681.92 × 7,228.04
  4. Step 4: Simplify right side
    13,798.76x = 149,489,745.04
  5. Step 5: Solve for x
    x = 149,489,745.04/13,798.76
  6. Step 6: Final answer
    x = 10,833.56

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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.