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Finding the Fourth Proportional to 21,706.43, 32,548.84 and 6,913.43

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Solution

The fourth proportional to 21,706.43, 32,548.84 and 6,913.43 is: 10,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.43 : 32,548.84 = 6,913.43 : x
  2. Step 2: Convert to fraction form
    21,706.43/32,548.84 = 6,913.43/x
  3. Step 3: Cross multiply
    21,706.43x = 32,548.84 × 6,913.43
  4. Step 4: Simplify right side
    21,706.43x = 225,024,126.92
  5. Step 5: Solve for x
    x = 225,024,126.92/21,706.43
  6. Step 6: Final answer
    x = 10,366.70

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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.