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Finding the Fourth Proportional to 16,463.10, 22,716.86 and 9,291.86

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Solution

The fourth proportional to 16,463.10, 22,716.86 and 9,291.86 is: 12,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.10 : 22,716.86 = 9,291.86 : x
  2. Step 2: Convert to fraction form
    16,463.10/22,716.86 = 9,291.86/x
  3. Step 3: Cross multiply
    16,463.10x = 22,716.86 × 9,291.86
  4. Step 4: Simplify right side
    16,463.10x = 211,081,935.69
  5. Step 5: Solve for x
    x = 211,081,935.69/16,463.10
  6. Step 6: Final answer
    x = 12,821.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.