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Finding the Fourth Proportional to 14,770.50, 22,150.96 and 4,907.13

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Solution

The fourth proportional to 14,770.50, 22,150.96 and 4,907.13 is: 7,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.50 : 22,150.96 = 4,907.13 : x
  2. Step 2: Convert to fraction form
    14,770.50/22,150.96 = 4,907.13/x
  3. Step 3: Cross multiply
    14,770.50x = 22,150.96 × 4,907.13
  4. Step 4: Simplify right side
    14,770.50x = 108,697,640.34
  5. Step 5: Solve for x
    x = 108,697,640.34/14,770.50
  6. Step 6: Final answer
    x = 7,359.10

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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.