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Finding the Fourth Proportional to 12,629.98, 18,920.76 and 7,066.50

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Solution

The fourth proportional to 12,629.98, 18,920.76 and 7,066.50 is: 10,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.98 : 18,920.76 = 7,066.50 : x
  2. Step 2: Convert to fraction form
    12,629.98/18,920.76 = 7,066.50/x
  3. Step 3: Cross multiply
    12,629.98x = 18,920.76 × 7,066.50
  4. Step 4: Simplify right side
    12,629.98x = 133,703,550.54
  5. Step 5: Solve for x
    x = 133,703,550.54/12,629.98
  6. Step 6: Final answer
    x = 10,586.20

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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.