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Finding the Fourth Proportional to 16,289.64, 24,446.22 and 8,398.47

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Solution

The fourth proportional to 16,289.64, 24,446.22 and 8,398.47 is: 12,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.64 : 24,446.22 = 8,398.47 : x
  2. Step 2: Convert to fraction form
    16,289.64/24,446.22 = 8,398.47/x
  3. Step 3: Cross multiply
    16,289.64x = 24,446.22 × 8,398.47
  4. Step 4: Simplify right side
    16,289.64x = 205,310,845.28
  5. Step 5: Solve for x
    x = 205,310,845.28/16,289.64
  6. Step 6: Final answer
    x = 12,603.77

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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.