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Finding the Fourth Proportional to 24,802.79, 37,200.35 and 8,161.43

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Solution

The fourth proportional to 24,802.79, 37,200.35 and 8,161.43 is: 12,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.79 : 37,200.35 = 8,161.43 : x
  2. Step 2: Convert to fraction form
    24,802.79/37,200.35 = 8,161.43/x
  3. Step 3: Cross multiply
    24,802.79x = 37,200.35 × 8,161.43
  4. Step 4: Simplify right side
    24,802.79x = 303,607,825.69
  5. Step 5: Solve for x
    x = 303,607,825.69/24,802.79
  6. Step 6: Final answer
    x = 12,240.88

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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.