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Finding the Fourth Proportional to 13,615.91, 18,785.28 and 8,507.96

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Solution

The fourth proportional to 13,615.91, 18,785.28 and 8,507.96 is: 11,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.91 : 18,785.28 = 8,507.96 : x
  2. Step 2: Convert to fraction form
    13,615.91/18,785.28 = 8,507.96/x
  3. Step 3: Cross multiply
    13,615.91x = 18,785.28 × 8,507.96
  4. Step 4: Simplify right side
    13,615.91x = 159,824,410.83
  5. Step 5: Solve for x
    x = 159,824,410.83/13,615.91
  6. Step 6: Final answer
    x = 11,738.06

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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.