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Finding the Fourth Proportional to 16,483.70, 24,733.38 and 6,629.78

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Solution

The fourth proportional to 16,483.70, 24,733.38 and 6,629.78 is: 9,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.70 : 24,733.38 = 6,629.78 : x
  2. Step 2: Convert to fraction form
    16,483.70/24,733.38 = 6,629.78/x
  3. Step 3: Cross multiply
    16,483.70x = 24,733.38 × 6,629.78
  4. Step 4: Simplify right side
    16,483.70x = 163,976,868.06
  5. Step 5: Solve for x
    x = 163,976,868.06/16,483.70
  6. Step 6: Final answer
    x = 9,947.82

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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.