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Finding the Fourth Proportional to 12,641.50, 18,946.87 and 8,944.79

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Solution

The fourth proportional to 12,641.50, 18,946.87 and 8,944.79 is: 13,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.50 : 18,946.87 = 8,944.79 : x
  2. Step 2: Convert to fraction form
    12,641.50/18,946.87 = 8,944.79/x
  3. Step 3: Cross multiply
    12,641.50x = 18,946.87 × 8,944.79
  4. Step 4: Simplify right side
    12,641.50x = 169,475,728.58
  5. Step 5: Solve for x
    x = 169,475,728.58/12,641.50
  6. Step 6: Final answer
    x = 13,406.30

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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.