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Finding the Fourth Proportional to 13,617.84, 18,785.52 and 9,142.86

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Solution

The fourth proportional to 13,617.84, 18,785.52 and 9,142.86 is: 12,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.84 : 18,785.52 = 9,142.86 : x
  2. Step 2: Convert to fraction form
    13,617.84/18,785.52 = 9,142.86/x
  3. Step 3: Cross multiply
    13,617.84x = 18,785.52 × 9,142.86
  4. Step 4: Simplify right side
    13,617.84x = 171,753,379.39
  5. Step 5: Solve for x
    x = 171,753,379.39/13,617.84
  6. Step 6: Final answer
    x = 12,612.38

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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.