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Finding the Fourth Proportional to 14,731.86, 22,105.88 and 6,940.46

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Solution

The fourth proportional to 14,731.86, 22,105.88 and 6,940.46 is: 10,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.86 : 22,105.88 = 6,940.46 : x
  2. Step 2: Convert to fraction form
    14,731.86/22,105.88 = 6,940.46/x
  3. Step 3: Cross multiply
    14,731.86x = 22,105.88 × 6,940.46
  4. Step 4: Simplify right side
    14,731.86x = 153,424,975.90
  5. Step 5: Solve for x
    x = 153,424,975.90/14,731.86
  6. Step 6: Final answer
    x = 10,414.50

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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.