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Finding the Fourth Proportional to 23,808.15, 35,724.38 and 9,778.95

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Solution

The fourth proportional to 23,808.15, 35,724.38 and 9,778.95 is: 14,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.15 : 35,724.38 = 9,778.95 : x
  2. Step 2: Convert to fraction form
    23,808.15/35,724.38 = 9,778.95/x
  3. Step 3: Cross multiply
    23,808.15x = 35,724.38 × 9,778.95
  4. Step 4: Simplify right side
    23,808.15x = 349,346,876.91
  5. Step 5: Solve for x
    x = 349,346,876.91/23,808.15
  6. Step 6: Final answer
    x = 14,673.42

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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.