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Finding the Fourth Proportional to 13,496.67, 20,248.90 and 4,138.07

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Solution

The fourth proportional to 13,496.67, 20,248.90 and 4,138.07 is: 6,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.67 : 20,248.90 = 4,138.07 : x
  2. Step 2: Convert to fraction form
    13,496.67/20,248.90 = 4,138.07/x
  3. Step 3: Cross multiply
    13,496.67x = 20,248.90 × 4,138.07
  4. Step 4: Simplify right side
    13,496.67x = 83,791,425.19
  5. Step 5: Solve for x
    x = 83,791,425.19/13,496.67
  6. Step 6: Final answer
    x = 6,208.30

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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.