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Finding the Fourth Proportional to 20,149.18, 30,223.74 and 7,666.24

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Solution

The fourth proportional to 20,149.18, 30,223.74 and 7,666.24 is: 11,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.18 : 30,223.74 = 7,666.24 : x
  2. Step 2: Convert to fraction form
    20,149.18/30,223.74 = 7,666.24/x
  3. Step 3: Cross multiply
    20,149.18x = 30,223.74 × 7,666.24
  4. Step 4: Simplify right side
    20,149.18x = 231,702,444.54
  5. Step 5: Solve for x
    x = 231,702,444.54/20,149.18
  6. Step 6: Final answer
    x = 11,499.35

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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.