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Finding the Fourth Proportional to 27,244.32, 40,857.84 and 8,772

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Solution

The fourth proportional to 27,244.32, 40,857.84 and 8,772 is: 13,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,244.32 : 40,857.84 = 8,772 : x
  2. Step 2: Convert to fraction form
    27,244.32/40,857.84 = 8,772/x
  3. Step 3: Cross multiply
    27,244.32x = 40,857.84 × 8,772
  4. Step 4: Simplify right side
    27,244.32x = 358,404,972.48
  5. Step 5: Solve for x
    x = 358,404,972.48/27,244.32
  6. Step 6: Final answer
    x = 13,155.22

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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.