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Finding the Fourth Proportional to 23,404.02, 35,098.74 and 7,818

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Solution

The fourth proportional to 23,404.02, 35,098.74 and 7,818 is: 11,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404.02 : 35,098.74 = 7,818 : x
  2. Step 2: Convert to fraction form
    23,404.02/35,098.74 = 7,818/x
  3. Step 3: Cross multiply
    23,404.02x = 35,098.74 × 7,818
  4. Step 4: Simplify right side
    23,404.02x = 274,401,949.32
  5. Step 5: Solve for x
    x = 274,401,949.32/23,404.02
  6. Step 6: Final answer
    x = 11,724.56

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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.