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Finding the Fourth Proportional to 12,744.50, 19,116.61 and 8,980.81

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Solution

The fourth proportional to 12,744.50, 19,116.61 and 8,980.81 is: 13,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.50 : 19,116.61 = 8,980.81 : x
  2. Step 2: Convert to fraction form
    12,744.50/19,116.61 = 8,980.81/x
  3. Step 3: Cross multiply
    12,744.50x = 19,116.61 × 8,980.81
  4. Step 4: Simplify right side
    12,744.50x = 171,682,572.01
  5. Step 5: Solve for x
    x = 171,682,572.01/12,744.50
  6. Step 6: Final answer
    x = 13,471.12

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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.