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Finding the Fourth Proportional to 21,120.57, 31,712.00 and 11,778.84

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Solution

The fourth proportional to 21,120.57, 31,712.00 and 11,778.84 is: 17,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.57 : 31,712.00 = 11,778.84 : x
  2. Step 2: Convert to fraction form
    21,120.57/31,712.00 = 11,778.84/x
  3. Step 3: Cross multiply
    21,120.57x = 31,712.00 × 11,778.84
  4. Step 4: Simplify right side
    21,120.57x = 373,530,515.19
  5. Step 5: Solve for x
    x = 373,530,515.19/21,120.57
  6. Step 6: Final answer
    x = 17,685.63

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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.