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Finding the Fourth Proportional to 15,496.25, 21,384.97 and 8,422.69

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Solution

The fourth proportional to 15,496.25, 21,384.97 and 8,422.69 is: 11,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.25 : 21,384.97 = 8,422.69 : x
  2. Step 2: Convert to fraction form
    15,496.25/21,384.97 = 8,422.69/x
  3. Step 3: Cross multiply
    15,496.25x = 21,384.97 × 8,422.69
  4. Step 4: Simplify right side
    15,496.25x = 180,118,972.97
  5. Step 5: Solve for x
    x = 180,118,972.97/15,496.25
  6. Step 6: Final answer
    x = 11,623.39

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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.