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Finding the Fourth Proportional to 20,173.38, 30,257.64 and 7,024.66

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Solution

The fourth proportional to 20,173.38, 30,257.64 and 7,024.66 is: 10,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.38 : 30,257.64 = 7,024.66 : x
  2. Step 2: Convert to fraction form
    20,173.38/30,257.64 = 7,024.66/x
  3. Step 3: Cross multiply
    20,173.38x = 30,257.64 × 7,024.66
  4. Step 4: Simplify right side
    20,173.38x = 212,549,633.40
  5. Step 5: Solve for x
    x = 212,549,633.40/20,173.38
  6. Step 6: Final answer
    x = 10,536.14

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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.