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Finding the Fourth Proportional to 23,782.32, 35,673.66 and 7,142.49

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Solution

The fourth proportional to 23,782.32, 35,673.66 and 7,142.49 is: 10,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.32 : 35,673.66 = 7,142.49 : x
  2. Step 2: Convert to fraction form
    23,782.32/35,673.66 = 7,142.49/x
  3. Step 3: Cross multiply
    23,782.32x = 35,673.66 × 7,142.49
  4. Step 4: Simplify right side
    23,782.32x = 254,798,759.81
  5. Step 5: Solve for x
    x = 254,798,759.81/23,782.32
  6. Step 6: Final answer
    x = 10,713.79

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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.