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Finding the Fourth Proportional to 13,497.21, 20,239.88 and 6,101.37

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Solution

The fourth proportional to 13,497.21, 20,239.88 and 6,101.37 is: 9,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.21 : 20,239.88 = 6,101.37 : x
  2. Step 2: Convert to fraction form
    13,497.21/20,239.88 = 6,101.37/x
  3. Step 3: Cross multiply
    13,497.21x = 20,239.88 × 6,101.37
  4. Step 4: Simplify right side
    13,497.21x = 123,490,966.13
  5. Step 5: Solve for x
    x = 123,490,966.13/13,497.21
  6. Step 6: Final answer
    x = 9,149.37

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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.