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Finding the Fourth Proportional to 13,537.20, 20,266.21 and 7,897.65

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Solution

The fourth proportional to 13,537.20, 20,266.21 and 7,897.65 is: 11,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.20 : 20,266.21 = 7,897.65 : x
  2. Step 2: Convert to fraction form
    13,537.20/20,266.21 = 7,897.65/x
  3. Step 3: Cross multiply
    13,537.20x = 20,266.21 × 7,897.65
  4. Step 4: Simplify right side
    13,537.20x = 160,055,433.41
  5. Step 5: Solve for x
    x = 160,055,433.41/13,537.20
  6. Step 6: Final answer
    x = 11,823.38

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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.