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Finding the Fourth Proportional to 24,829.40, 37,236.19 and 8,186.33

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Solution

The fourth proportional to 24,829.40, 37,236.19 and 8,186.33 is: 12,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.40 : 37,236.19 = 8,186.33 : x
  2. Step 2: Convert to fraction form
    24,829.40/37,236.19 = 8,186.33/x
  3. Step 3: Cross multiply
    24,829.40x = 37,236.19 × 8,186.33
  4. Step 4: Simplify right side
    24,829.40x = 304,827,739.28
  5. Step 5: Solve for x
    x = 304,827,739.28/24,829.40
  6. Step 6: Final answer
    x = 12,276.89

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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.