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Finding the Fourth Proportional to 24,848.12, 37,276.74 and 8,209.28

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Solution

The fourth proportional to 24,848.12, 37,276.74 and 8,209.28 is: 12,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848.12 : 37,276.74 = 8,209.28 : x
  2. Step 2: Convert to fraction form
    24,848.12/37,276.74 = 8,209.28/x
  3. Step 3: Cross multiply
    24,848.12x = 37,276.74 × 8,209.28
  4. Step 4: Simplify right side
    24,848.12x = 306,015,196.15
  5. Step 5: Solve for x
    x = 306,015,196.15/24,848.12
  6. Step 6: Final answer
    x = 12,315.43

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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.