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Finding the Fourth Proportional to 27,994.35, 38,632.20 and 15,419.10

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Solution

The fourth proportional to 27,994.35, 38,632.20 and 15,419.10 is: 21,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.35 : 38,632.20 = 15,419.10 : x
  2. Step 2: Convert to fraction form
    27,994.35/38,632.20 = 15,419.10/x
  3. Step 3: Cross multiply
    27,994.35x = 38,632.20 × 15,419.10
  4. Step 4: Simplify right side
    27,994.35x = 595,673,890.15
  5. Step 5: Solve for x
    x = 595,673,890.15/27,994.35
  6. Step 6: Final answer
    x = 21,278.36

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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.