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Finding the Fourth Proportional to 27,433, 41,155.98 and 8,965

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Solution

The fourth proportional to 27,433, 41,155.98 and 8,965 is: 13,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,433 : 41,155.98 = 8,965 : x
  2. Step 2: Convert to fraction form
    27,433/41,155.98 = 8,965/x
  3. Step 3: Cross multiply
    27,433x = 41,155.98 × 8,965
  4. Step 4: Simplify right side
    27,433x = 368,963,360.70
  5. Step 5: Solve for x
    x = 368,963,360.70/27,433
  6. Step 6: Final answer
    x = 13,449.62

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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.