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Finding the Fourth Proportional to 23,819.94, 35,731.53 and 7,178.49

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Solution

The fourth proportional to 23,819.94, 35,731.53 and 7,178.49 is: 10,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.94 : 35,731.53 = 7,178.49 : x
  2. Step 2: Convert to fraction form
    23,819.94/35,731.53 = 7,178.49/x
  3. Step 3: Cross multiply
    23,819.94x = 35,731.53 × 7,178.49
  4. Step 4: Simplify right side
    23,819.94x = 256,498,430.79
  5. Step 5: Solve for x
    x = 256,498,430.79/23,819.94
  6. Step 6: Final answer
    x = 10,768.22

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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.