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Finding the Fourth Proportional to 23,805.66, 35,724.62 and 9,768.22

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Solution

The fourth proportional to 23,805.66, 35,724.62 and 9,768.22 is: 14,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.66 : 35,724.62 = 9,768.22 : x
  2. Step 2: Convert to fraction form
    23,805.66/35,724.62 = 9,768.22/x
  3. Step 3: Cross multiply
    23,805.66x = 35,724.62 × 9,768.22
  4. Step 4: Simplify right side
    23,805.66x = 348,965,898.74
  5. Step 5: Solve for x
    x = 348,965,898.74/23,805.66
  6. Step 6: Final answer
    x = 14,658.95

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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.