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Finding the Fourth Proportional to 16,173.70, 24,262.83 and 5,642.19

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Solution

The fourth proportional to 16,173.70, 24,262.83 and 5,642.19 is: 8,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173.70 : 24,262.83 = 5,642.19 : x
  2. Step 2: Convert to fraction form
    16,173.70/24,262.83 = 5,642.19/x
  3. Step 3: Cross multiply
    16,173.70x = 24,262.83 × 5,642.19
  4. Step 4: Simplify right side
    16,173.70x = 136,895,405.81
  5. Step 5: Solve for x
    x = 136,895,405.81/16,173.70
  6. Step 6: Final answer
    x = 8,464.07

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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.