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Finding the Fourth Proportional to 13,612.38, 18,785.16 and 7,644.30

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Solution

The fourth proportional to 13,612.38, 18,785.16 and 7,644.30 is: 10,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.38 : 18,785.16 = 7,644.30 : x
  2. Step 2: Convert to fraction form
    13,612.38/18,785.16 = 7,644.30/x
  3. Step 3: Cross multiply
    13,612.38x = 18,785.16 × 7,644.30
  4. Step 4: Simplify right side
    13,612.38x = 143,599,398.59
  5. Step 5: Solve for x
    x = 143,599,398.59/13,612.38
  6. Step 6: Final answer
    x = 10,549.18

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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.