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Finding the Fourth Proportional to 23,782.15, 35,673.23 and 7,142.32

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Solution

The fourth proportional to 23,782.15, 35,673.23 and 7,142.32 is: 10,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.15 : 35,673.23 = 7,142.32 : x
  2. Step 2: Convert to fraction form
    23,782.15/35,673.23 = 7,142.32/x
  3. Step 3: Cross multiply
    23,782.15x = 35,673.23 × 7,142.32
  4. Step 4: Simplify right side
    23,782.15x = 254,789,624.09
  5. Step 5: Solve for x
    x = 254,789,624.09/23,782.15
  6. Step 6: Final answer
    x = 10,713.48

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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.