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Finding the Fourth Proportional to 24,189.17, 36,283.94 and 6,659.96

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Solution

The fourth proportional to 24,189.17, 36,283.94 and 6,659.96 is: 9,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.17 : 36,283.94 = 6,659.96 : x
  2. Step 2: Convert to fraction form
    24,189.17/36,283.94 = 6,659.96/x
  3. Step 3: Cross multiply
    24,189.17x = 36,283.94 × 6,659.96
  4. Step 4: Simplify right side
    24,189.17x = 241,649,555.74
  5. Step 5: Solve for x
    x = 241,649,555.74/24,189.17
  6. Step 6: Final answer
    x = 9,989.99

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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.