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Finding the Fourth Proportional to 14,735.78, 22,109.43 and 5,502.50

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Solution

The fourth proportional to 14,735.78, 22,109.43 and 5,502.50 is: 8,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.78 : 22,109.43 = 5,502.50 : x
  2. Step 2: Convert to fraction form
    14,735.78/22,109.43 = 5,502.50/x
  3. Step 3: Cross multiply
    14,735.78x = 22,109.43 × 5,502.50
  4. Step 4: Simplify right side
    14,735.78x = 121,657,138.58
  5. Step 5: Solve for x
    x = 121,657,138.58/14,735.78
  6. Step 6: Final answer
    x = 8,255.90

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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.