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Finding the Fourth Proportional to 15,662.38, 21,614.16 and 8,588.68

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Solution

The fourth proportional to 15,662.38, 21,614.16 and 8,588.68 is: 11,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.38 : 21,614.16 = 8,588.68 : x
  2. Step 2: Convert to fraction form
    15,662.38/21,614.16 = 8,588.68/x
  3. Step 3: Cross multiply
    15,662.38x = 21,614.16 × 8,588.68
  4. Step 4: Simplify right side
    15,662.38x = 185,637,103.71
  5. Step 5: Solve for x
    x = 185,637,103.71/15,662.38
  6. Step 6: Final answer
    x = 11,852.42

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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.