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Finding the Fourth Proportional to 15,392, 23,093.76 and 7,991.84

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Solution

The fourth proportional to 15,392, 23,093.76 and 7,991.84 is: 11,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,392 : 23,093.76 = 7,991.84 : x
  2. Step 2: Convert to fraction form
    15,392/23,093.76 = 7,991.84/x
  3. Step 3: Cross multiply
    15,392x = 23,093.76 × 7,991.84
  4. Step 4: Simplify right side
    15,392x = 184,561,634.92
  5. Step 5: Solve for x
    x = 184,561,634.92/15,392
  6. Step 6: Final answer
    x = 11,990.75

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Why These Related Problems?

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