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Finding the Fourth Proportional to 22,492.80, 33,737.76 and 6,912

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Solution

The fourth proportional to 22,492.80, 33,737.76 and 6,912 is: 10,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.80 : 33,737.76 = 6,912 : x
  2. Step 2: Convert to fraction form
    22,492.80/33,737.76 = 6,912/x
  3. Step 3: Cross multiply
    22,492.80x = 33,737.76 × 6,912
  4. Step 4: Simplify right side
    22,492.80x = 233,195,397.12
  5. Step 5: Solve for x
    x = 233,195,397.12/22,492.80
  6. Step 6: Final answer
    x = 10,367.56

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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.