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Finding the Fourth Proportional to 15,221.92, 21,005.41 and 8,506.21

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Solution

The fourth proportional to 15,221.92, 21,005.41 and 8,506.21 is: 11,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.92 : 21,005.41 = 8,506.21 : x
  2. Step 2: Convert to fraction form
    15,221.92/21,005.41 = 8,506.21/x
  3. Step 3: Cross multiply
    15,221.92x = 21,005.41 × 8,506.21
  4. Step 4: Simplify right side
    15,221.92x = 178,676,386.07
  5. Step 5: Solve for x
    x = 178,676,386.07/15,221.92
  6. Step 6: Final answer
    x = 11,738.10

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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.