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Finding the Fourth Proportional to 16,428.43, 24,644 and 6,562.32

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Solution

The fourth proportional to 16,428.43, 24,644 and 6,562.32 is: 9,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.43 : 24,644 = 6,562.32 : x
  2. Step 2: Convert to fraction form
    16,428.43/24,644 = 6,562.32/x
  3. Step 3: Cross multiply
    16,428.43x = 24,644 × 6,562.32
  4. Step 4: Simplify right side
    16,428.43x = 161,721,814.08
  5. Step 5: Solve for x
    x = 161,721,814.08/16,428.43
  6. Step 6: Final answer
    x = 9,844.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.