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Finding the Fourth Proportional to 16,356.46, 24,535.31 and 5,112.83

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Solution

The fourth proportional to 16,356.46, 24,535.31 and 5,112.83 is: 7,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.46 : 24,535.31 = 5,112.83 : x
  2. Step 2: Convert to fraction form
    16,356.46/24,535.31 = 5,112.83/x
  3. Step 3: Cross multiply
    16,356.46x = 24,535.31 × 5,112.83
  4. Step 4: Simplify right side
    16,356.46x = 125,444,869.03
  5. Step 5: Solve for x
    x = 125,444,869.03/16,356.46
  6. Step 6: Final answer
    x = 7,669.44

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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.