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Finding the Fourth Proportional to 24,477.49, 36,716.16 and 6,947.33

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Solution

The fourth proportional to 24,477.49, 36,716.16 and 6,947.33 is: 10,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.49 : 36,716.16 = 6,947.33 : x
  2. Step 2: Convert to fraction form
    24,477.49/36,716.16 = 6,947.33/x
  3. Step 3: Cross multiply
    24,477.49x = 36,716.16 × 6,947.33
  4. Step 4: Simplify right side
    24,477.49x = 255,079,279.85
  5. Step 5: Solve for x
    x = 255,079,279.85/24,477.49
  6. Step 6: Final answer
    x = 10,420.98

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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.