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Finding the Fourth Proportional to 15,717.51, 21,690.38 and 8,644.10

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Solution

The fourth proportional to 15,717.51, 21,690.38 and 8,644.10 is: 11,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.51 : 21,690.38 = 8,644.10 : x
  2. Step 2: Convert to fraction form
    15,717.51/21,690.38 = 8,644.10/x
  3. Step 3: Cross multiply
    15,717.51x = 21,690.38 × 8,644.10
  4. Step 4: Simplify right side
    15,717.51x = 187,493,726.92
  5. Step 5: Solve for x
    x = 187,493,726.92/15,717.51
  6. Step 6: Final answer
    x = 11,928.97

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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.