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Finding the Fourth Proportional to 21,704.34, 32,556.78 and 6,913.20

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Solution

The fourth proportional to 21,704.34, 32,556.78 and 6,913.20 is: 10,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.34 : 32,556.78 = 6,913.20 : x
  2. Step 2: Convert to fraction form
    21,704.34/32,556.78 = 6,913.20/x
  3. Step 3: Cross multiply
    21,704.34x = 32,556.78 × 6,913.20
  4. Step 4: Simplify right side
    21,704.34x = 225,071,531.50
  5. Step 5: Solve for x
    x = 225,071,531.50/21,704.34
  6. Step 6: Final answer
    x = 10,369.89

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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.