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Finding the Fourth Proportional to 23,642.90, 35,469.54 and 7,004.24

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Solution

The fourth proportional to 23,642.90, 35,469.54 and 7,004.24 is: 10,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.90 : 35,469.54 = 7,004.24 : x
  2. Step 2: Convert to fraction form
    23,642.90/35,469.54 = 7,004.24/x
  3. Step 3: Cross multiply
    23,642.90x = 35,469.54 × 7,004.24
  4. Step 4: Simplify right side
    23,642.90x = 248,437,170.85
  5. Step 5: Solve for x
    x = 248,437,170.85/23,642.90
  6. Step 6: Final answer
    x = 10,507.90

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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.