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Finding the Fourth Proportional to 11,645.01, 17,475.98 and 8,731.17

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Solution

The fourth proportional to 11,645.01, 17,475.98 and 8,731.17 is: 13,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.01 : 17,475.98 = 8,731.17 : x
  2. Step 2: Convert to fraction form
    11,645.01/17,475.98 = 8,731.17/x
  3. Step 3: Cross multiply
    11,645.01x = 17,475.98 × 8,731.17
  4. Step 4: Simplify right side
    11,645.01x = 152,585,708.64
  5. Step 5: Solve for x
    x = 152,585,708.64/11,645.01
  6. Step 6: Final answer
    x = 13,103.10

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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.