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Finding the Fourth Proportional to 20,533.50, 28,334.60 and 11,578.14

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Solution

The fourth proportional to 20,533.50, 28,334.60 and 11,578.14 is: 15,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.50 : 28,334.60 = 11,578.14 : x
  2. Step 2: Convert to fraction form
    20,533.50/28,334.60 = 11,578.14/x
  3. Step 3: Cross multiply
    20,533.50x = 28,334.60 × 11,578.14
  4. Step 4: Simplify right side
    20,533.50x = 328,061,965.64
  5. Step 5: Solve for x
    x = 328,061,965.64/20,533.50
  6. Step 6: Final answer
    x = 15,976.91

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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.