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Finding the Fourth Proportional to 24,340.94, 36,511.41 and 6,813.35

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Solution

The fourth proportional to 24,340.94, 36,511.41 and 6,813.35 is: 10,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.94 : 36,511.41 = 6,813.35 : x
  2. Step 2: Convert to fraction form
    24,340.94/36,511.41 = 6,813.35/x
  3. Step 3: Cross multiply
    24,340.94x = 36,511.41 × 6,813.35
  4. Step 4: Simplify right side
    24,340.94x = 248,764,832.77
  5. Step 5: Solve for x
    x = 248,764,832.77/24,340.94
  6. Step 6: Final answer
    x = 10,220.02

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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.