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Finding the Fourth Proportional to 16,282.82, 24,423.93 and 6,422.19

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Solution

The fourth proportional to 16,282.82, 24,423.93 and 6,422.19 is: 9,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.82 : 24,423.93 = 6,422.19 : x
  2. Step 2: Convert to fraction form
    16,282.82/24,423.93 = 6,422.19/x
  3. Step 3: Cross multiply
    16,282.82x = 24,423.93 × 6,422.19
  4. Step 4: Simplify right side
    16,282.82x = 156,855,027.42
  5. Step 5: Solve for x
    x = 156,855,027.42/16,282.82
  6. Step 6: Final answer
    x = 9,633.16

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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.