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Finding the Fourth Proportional to 14,783.78, 22,180 and 5,550.50

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Solution

The fourth proportional to 14,783.78, 22,180 and 5,550.50 is: 8,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.78 : 22,180 = 5,550.50 : x
  2. Step 2: Convert to fraction form
    14,783.78/22,180 = 5,550.50/x
  3. Step 3: Cross multiply
    14,783.78x = 22,180 × 5,550.50
  4. Step 4: Simplify right side
    14,783.78x = 123,110,090
  5. Step 5: Solve for x
    x = 123,110,090/14,783.78
  6. Step 6: Final answer
    x = 8,327.38

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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.