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Finding the Fourth Proportional to 27,994.32, 41,998.70 and 10,464.28

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Solution

The fourth proportional to 27,994.32, 41,998.70 and 10,464.28 is: 15,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.32 : 41,998.70 = 10,464.28 : x
  2. Step 2: Convert to fraction form
    27,994.32/41,998.70 = 10,464.28/x
  3. Step 3: Cross multiply
    27,994.32x = 41,998.70 × 10,464.28
  4. Step 4: Simplify right side
    27,994.32x = 439,486,156.44
  5. Step 5: Solve for x
    x = 439,486,156.44/27,994.32
  6. Step 6: Final answer
    x = 15,699.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.