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Finding the Fourth Proportional to 23,818.40, 35,727.74 and 7,178.36

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Solution

The fourth proportional to 23,818.40, 35,727.74 and 7,178.36 is: 10,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.40 : 35,727.74 = 7,178.36 : x
  2. Step 2: Convert to fraction form
    23,818.40/35,727.74 = 7,178.36/x
  3. Step 3: Cross multiply
    23,818.40x = 35,727.74 × 7,178.36
  4. Step 4: Simplify right side
    23,818.40x = 256,466,686.97
  5. Step 5: Solve for x
    x = 256,466,686.97/23,818.40
  6. Step 6: Final answer
    x = 10,767.59

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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.