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Finding the Fourth Proportional to 21,704.70, 32,557.95 and 6,913.20

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Solution

The fourth proportional to 21,704.70, 32,557.95 and 6,913.20 is: 10,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.70 : 32,557.95 = 6,913.20 : x
  2. Step 2: Convert to fraction form
    21,704.70/32,557.95 = 6,913.20/x
  3. Step 3: Cross multiply
    21,704.70x = 32,557.95 × 6,913.20
  4. Step 4: Simplify right side
    21,704.70x = 225,079,619.94
  5. Step 5: Solve for x
    x = 225,079,619.94/21,704.70
  6. Step 6: Final answer
    x = 10,370.09

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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.