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Finding the Fourth Proportional to 24,274.12, 36,411.14 and 7,635.62

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Solution

The fourth proportional to 24,274.12, 36,411.14 and 7,635.62 is: 11,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.12 : 36,411.14 = 7,635.62 : x
  2. Step 2: Convert to fraction form
    24,274.12/36,411.14 = 7,635.62/x
  3. Step 3: Cross multiply
    24,274.12x = 36,411.14 × 7,635.62
  4. Step 4: Simplify right side
    24,274.12x = 278,021,628.81
  5. Step 5: Solve for x
    x = 278,021,628.81/24,274.12
  6. Step 6: Final answer
    x = 11,453.42

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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.