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Finding the Fourth Proportional to 11,824.76, 17,737.68 and 4,033.64

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Solution

The fourth proportional to 11,824.76, 17,737.68 and 4,033.64 is: 6,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.76 : 17,737.68 = 4,033.64 : x
  2. Step 2: Convert to fraction form
    11,824.76/17,737.68 = 4,033.64/x
  3. Step 3: Cross multiply
    11,824.76x = 17,737.68 × 4,033.64
  4. Step 4: Simplify right side
    11,824.76x = 71,547,415.56
  5. Step 5: Solve for x
    x = 71,547,415.56/11,824.76
  6. Step 6: Final answer
    x = 6,050.64

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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.