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Finding the Fourth Proportional to 27,994.57, 38,632.50 and 15,419.32

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Solution

The fourth proportional to 27,994.57, 38,632.50 and 15,419.32 is: 21,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.57 : 38,632.50 = 15,419.32 : x
  2. Step 2: Convert to fraction form
    27,994.57/38,632.50 = 15,419.32/x
  3. Step 3: Cross multiply
    27,994.57x = 38,632.50 × 15,419.32
  4. Step 4: Simplify right side
    27,994.57x = 595,686,879.90
  5. Step 5: Solve for x
    x = 595,686,879.90/27,994.57
  6. Step 6: Final answer
    x = 21,278.66

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