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Finding the Fourth Proportional to 14,940.78, 22,411.19 and 3,847.50

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Solution

The fourth proportional to 14,940.78, 22,411.19 and 3,847.50 is: 5,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940.78 : 22,411.19 = 3,847.50 : x
  2. Step 2: Convert to fraction form
    14,940.78/22,411.19 = 3,847.50/x
  3. Step 3: Cross multiply
    14,940.78x = 22,411.19 × 3,847.50
  4. Step 4: Simplify right side
    14,940.78x = 86,227,053.53
  5. Step 5: Solve for x
    x = 86,227,053.53/14,940.78
  6. Step 6: Final answer
    x = 5,771.26

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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.