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Finding the Fourth Proportional to 23,024.78, 34,536.36 and 7,442

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Solution

The fourth proportional to 23,024.78, 34,536.36 and 7,442 is: 11,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.78 : 34,536.36 = 7,442 : x
  2. Step 2: Convert to fraction form
    23,024.78/34,536.36 = 7,442/x
  3. Step 3: Cross multiply
    23,024.78x = 34,536.36 × 7,442
  4. Step 4: Simplify right side
    23,024.78x = 257,019,591.12
  5. Step 5: Solve for x
    x = 257,019,591.12/23,024.78
  6. Step 6: Final answer
    x = 11,162.74

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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.