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Finding the Fourth Proportional to 15,710.84, 21,680.97 and 8,637.38

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Solution

The fourth proportional to 15,710.84, 21,680.97 and 8,637.38 is: 11,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.84 : 21,680.97 = 8,637.38 : x
  2. Step 2: Convert to fraction form
    15,710.84/21,680.97 = 8,637.38/x
  3. Step 3: Cross multiply
    15,710.84x = 21,680.97 × 8,637.38
  4. Step 4: Simplify right side
    15,710.84x = 187,266,776.66
  5. Step 5: Solve for x
    x = 187,266,776.66/15,710.84
  6. Step 6: Final answer
    x = 11,919.59

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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.