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Finding the Fourth Proportional to 24,812.76, 37,219.32 and 7,282.84

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Solution

The fourth proportional to 24,812.76, 37,219.32 and 7,282.84 is: 10,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.76 : 37,219.32 = 7,282.84 : x
  2. Step 2: Convert to fraction form
    24,812.76/37,219.32 = 7,282.84/x
  3. Step 3: Cross multiply
    24,812.76x = 37,219.32 × 7,282.84
  4. Step 4: Simplify right side
    24,812.76x = 271,062,352.47
  5. Step 5: Solve for x
    x = 271,062,352.47/24,812.76
  6. Step 6: Final answer
    x = 10,924.31

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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.