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Finding the Fourth Proportional to 14,735.28, 22,108.68 and 5,502

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Solution

The fourth proportional to 14,735.28, 22,108.68 and 5,502 is: 8,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.28 : 22,108.68 = 5,502 : x
  2. Step 2: Convert to fraction form
    14,735.28/22,108.68 = 5,502/x
  3. Step 3: Cross multiply
    14,735.28x = 22,108.68 × 5,502
  4. Step 4: Simplify right side
    14,735.28x = 121,641,957.36
  5. Step 5: Solve for x
    x = 121,641,957.36/14,735.28
  6. Step 6: Final answer
    x = 8,255.15

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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.