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Finding the Fourth Proportional to 24,796.83, 37,200.71 and 8,156.19

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Solution

The fourth proportional to 24,796.83, 37,200.71 and 8,156.19 is: 12,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796.83 : 37,200.71 = 8,156.19 : x
  2. Step 2: Convert to fraction form
    24,796.83/37,200.71 = 8,156.19/x
  3. Step 3: Cross multiply
    24,796.83x = 37,200.71 × 8,156.19
  4. Step 4: Simplify right side
    24,796.83x = 303,416,058.89
  5. Step 5: Solve for x
    x = 303,416,058.89/24,796.83
  6. Step 6: Final answer
    x = 12,236.08

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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.