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Finding the Fourth Proportional to 23,777.88, 35,672.75 and 7,138.22

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Solution

The fourth proportional to 23,777.88, 35,672.75 and 7,138.22 is: 10,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.88 : 35,672.75 = 7,138.22 : x
  2. Step 2: Convert to fraction form
    23,777.88/35,672.75 = 7,138.22/x
  3. Step 3: Cross multiply
    23,777.88x = 35,672.75 × 7,138.22
  4. Step 4: Simplify right side
    23,777.88x = 254,639,937.51
  5. Step 5: Solve for x
    x = 254,639,937.51/23,777.88
  6. Step 6: Final answer
    x = 10,709.11

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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.