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Finding the Fourth Proportional to 13,592.30, 20,393.28 and 6,197.00

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Solution

The fourth proportional to 13,592.30, 20,393.28 and 6,197.00 is: 9,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.30 : 20,393.28 = 6,197.00 : x
  2. Step 2: Convert to fraction form
    13,592.30/20,393.28 = 6,197.00/x
  3. Step 3: Cross multiply
    13,592.30x = 20,393.28 × 6,197.00
  4. Step 4: Simplify right side
    13,592.30x = 126,377,054.19
  5. Step 5: Solve for x
    x = 126,377,054.19/13,592.30
  6. Step 6: Final answer
    x = 9,297.70

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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.