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Finding the Fourth Proportional to 27,794.48, 38,356.20 and 15,219.20

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Solution

The fourth proportional to 27,794.48, 38,356.20 and 15,219.20 is: 21,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.48 : 38,356.20 = 15,219.20 : x
  2. Step 2: Convert to fraction form
    27,794.48/38,356.20 = 15,219.20/x
  3. Step 3: Cross multiply
    27,794.48x = 38,356.20 × 15,219.20
  4. Step 4: Simplify right side
    27,794.48x = 583,750,679.04
  5. Step 5: Solve for x
    x = 583,750,679.04/27,794.48
  6. Step 6: Final answer
    x = 21,002.40

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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.