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Finding the Fourth Proportional to 14,769.60, 22,149.60 and 4,907.20

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Solution

The fourth proportional to 14,769.60, 22,149.60 and 4,907.20 is: 7,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.60 : 22,149.60 = 4,907.20 : x
  2. Step 2: Convert to fraction form
    14,769.60/22,149.60 = 4,907.20/x
  3. Step 3: Cross multiply
    14,769.60x = 22,149.60 × 4,907.20
  4. Step 4: Simplify right side
    14,769.60x = 108,692,517.12
  5. Step 5: Solve for x
    x = 108,692,517.12/14,769.60
  6. Step 6: Final answer
    x = 7,359.21

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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.