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Finding the Fourth Proportional to 24,736, 37,106.16 and 6,268

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Solution

The fourth proportional to 24,736, 37,106.16 and 6,268 is: 9,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736 : 37,106.16 = 6,268 : x
  2. Step 2: Convert to fraction form
    24,736/37,106.16 = 6,268/x
  3. Step 3: Cross multiply
    24,736x = 37,106.16 × 6,268
  4. Step 4: Simplify right side
    24,736x = 232,581,410.88
  5. Step 5: Solve for x
    x = 232,581,410.88/24,736
  6. Step 6: Final answer
    x = 9,402.55

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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.