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Finding the Fourth Proportional to 24,340.77, 36,506.97 and 6,806.43

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Solution

The fourth proportional to 24,340.77, 36,506.97 and 6,806.43 is: 10,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.77 : 36,506.97 = 6,806.43 : x
  2. Step 2: Convert to fraction form
    24,340.77/36,506.97 = 6,806.43/x
  3. Step 3: Cross multiply
    24,340.77x = 36,506.97 × 6,806.43
  4. Step 4: Simplify right side
    24,340.77x = 248,482,135.82
  5. Step 5: Solve for x
    x = 248,482,135.82/24,340.77
  6. Step 6: Final answer
    x = 10,208.47

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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.