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Finding the Fourth Proportional to 15,220.43, 21,004.14 and 8,506.06

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Solution

The fourth proportional to 15,220.43, 21,004.14 and 8,506.06 is: 11,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,220.43 : 21,004.14 = 8,506.06 : x
  2. Step 2: Convert to fraction form
    15,220.43/21,004.14 = 8,506.06/x
  3. Step 3: Cross multiply
    15,220.43x = 21,004.14 × 8,506.06
  4. Step 4: Simplify right side
    15,220.43x = 178,662,454.48
  5. Step 5: Solve for x
    x = 178,662,454.48/15,220.43
  6. Step 6: Final answer
    x = 11,738.33

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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.