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Finding the Fourth Proportional to 27,956.25, 38,580.44 and 15,381

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Solution

The fourth proportional to 27,956.25, 38,580.44 and 15,381 is: 21,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,956.25 : 38,580.44 = 15,381 : x
  2. Step 2: Convert to fraction form
    27,956.25/38,580.44 = 15,381/x
  3. Step 3: Cross multiply
    27,956.25x = 38,580.44 × 15,381
  4. Step 4: Simplify right side
    27,956.25x = 593,405,670.74
  5. Step 5: Solve for x
    x = 593,405,670.74/27,956.25
  6. Step 6: Final answer
    x = 21,226.23

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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.