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Finding the Fourth Proportional to 27,844.72, 41,776.44 and 9,376.72

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Solution

The fourth proportional to 27,844.72, 41,776.44 and 9,376.72 is: 14,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.72 : 41,776.44 = 9,376.72 : x
  2. Step 2: Convert to fraction form
    27,844.72/41,776.44 = 9,376.72/x
  3. Step 3: Cross multiply
    27,844.72x = 41,776.44 × 9,376.72
  4. Step 4: Simplify right side
    27,844.72x = 391,725,980.48
  5. Step 5: Solve for x
    x = 391,725,980.48/27,844.72
  6. Step 6: Final answer
    x = 14,068.23

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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.