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Finding the Fourth Proportional to 15,399.86, 23,050.49 and 7,994.16

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Solution

The fourth proportional to 15,399.86, 23,050.49 and 7,994.16 is: 11,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,399.86 : 23,050.49 = 7,994.16 : x
  2. Step 2: Convert to fraction form
    15,399.86/23,050.49 = 7,994.16/x
  3. Step 3: Cross multiply
    15,399.86x = 23,050.49 × 7,994.16
  4. Step 4: Simplify right side
    15,399.86x = 184,269,265.17
  5. Step 5: Solve for x
    x = 184,269,265.17/15,399.86
  6. Step 6: Final answer
    x = 11,965.65

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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.