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Finding the Fourth Proportional to 27,809.32, 38,376.48 and 15,234.16

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Solution

The fourth proportional to 27,809.32, 38,376.48 and 15,234.16 is: 21,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.32 : 38,376.48 = 15,234.16 : x
  2. Step 2: Convert to fraction form
    27,809.32/38,376.48 = 15,234.16/x
  3. Step 3: Cross multiply
    27,809.32x = 38,376.48 × 15,234.16
  4. Step 4: Simplify right side
    27,809.32x = 584,633,436.56
  5. Step 5: Solve for x
    x = 584,633,436.56/27,809.32
  6. Step 6: Final answer
    x = 21,022.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.