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Finding the Fourth Proportional to 13,849.66, 20,765.04 and 7,933.24

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Solution

The fourth proportional to 13,849.66, 20,765.04 and 7,933.24 is: 11,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.66 : 20,765.04 = 7,933.24 : x
  2. Step 2: Convert to fraction form
    13,849.66/20,765.04 = 7,933.24/x
  3. Step 3: Cross multiply
    13,849.66x = 20,765.04 × 7,933.24
  4. Step 4: Simplify right side
    13,849.66x = 164,734,045.93
  5. Step 5: Solve for x
    x = 164,734,045.93/13,849.66
  6. Step 6: Final answer
    x = 11,894.45

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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.