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Finding the Fourth Proportional to 20,598.12, 30,897.17 and 7,447.42

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Solution

The fourth proportional to 20,598.12, 30,897.17 and 7,447.42 is: 11,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.12 : 30,897.17 = 7,447.42 : x
  2. Step 2: Convert to fraction form
    20,598.12/30,897.17 = 7,447.42/x
  3. Step 3: Cross multiply
    20,598.12x = 30,897.17 × 7,447.42
  4. Step 4: Simplify right side
    20,598.12x = 230,104,165.16
  5. Step 5: Solve for x
    x = 230,104,165.16/20,598.12
  6. Step 6: Final answer
    x = 11,171.12

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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.