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Finding the Fourth Proportional to 17,706.24, 24,451.20 and 11,093.76

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Solution

The fourth proportional to 17,706.24, 24,451.20 and 11,093.76 is: 15,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.24 : 24,451.20 = 11,093.76 : x
  2. Step 2: Convert to fraction form
    17,706.24/24,451.20 = 11,093.76/x
  3. Step 3: Cross multiply
    17,706.24x = 24,451.20 × 11,093.76
  4. Step 4: Simplify right side
    17,706.24x = 271,255,744.51
  5. Step 5: Solve for x
    x = 271,255,744.51/17,706.24
  6. Step 6: Final answer
    x = 15,319.78

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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.