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Finding the Fourth Proportional to 21,706.22, 32,569.46 and 7,676.87

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Solution

The fourth proportional to 21,706.22, 32,569.46 and 7,676.87 is: 11,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.22 : 32,569.46 = 7,676.87 : x
  2. Step 2: Convert to fraction form
    21,706.22/32,569.46 = 7,676.87/x
  3. Step 3: Cross multiply
    21,706.22x = 32,569.46 × 7,676.87
  4. Step 4: Simplify right side
    21,706.22x = 250,031,309.16
  5. Step 5: Solve for x
    x = 250,031,309.16/21,706.22
  6. Step 6: Final answer
    x = 11,518.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.