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Finding the Fourth Proportional to 12,346.65, 17,053.07 and 9,837.27

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Solution

The fourth proportional to 12,346.65, 17,053.07 and 9,837.27 is: 13,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.65 : 17,053.07 = 9,837.27 : x
  2. Step 2: Convert to fraction form
    12,346.65/17,053.07 = 9,837.27/x
  3. Step 3: Cross multiply
    12,346.65x = 17,053.07 × 9,837.27
  4. Step 4: Simplify right side
    12,346.65x = 167,755,604.73
  5. Step 5: Solve for x
    x = 167,755,604.73/12,346.65
  6. Step 6: Final answer
    x = 13,587.14

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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.