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Finding the Fourth Proportional to 15,579.14, 21,498.93 and 8,506.22

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Solution

The fourth proportional to 15,579.14, 21,498.93 and 8,506.22 is: 11,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,579.14 : 21,498.93 = 8,506.22 : x
  2. Step 2: Convert to fraction form
    15,579.14/21,498.93 = 8,506.22/x
  3. Step 3: Cross multiply
    15,579.14x = 21,498.93 × 8,506.22
  4. Step 4: Simplify right side
    15,579.14x = 182,874,628.34
  5. Step 5: Solve for x
    x = 182,874,628.34/15,579.14
  6. Step 6: Final answer
    x = 11,738.43

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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.