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Finding the Fourth Proportional to 20,533.88, 28,338.18 and 11,582.22

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Solution

The fourth proportional to 20,533.88, 28,338.18 and 11,582.22 is: 15,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.88 : 28,338.18 = 11,582.22 : x
  2. Step 2: Convert to fraction form
    20,533.88/28,338.18 = 11,582.22/x
  3. Step 3: Cross multiply
    20,533.88x = 28,338.18 × 11,582.22
  4. Step 4: Simplify right side
    20,533.88x = 328,219,035.16
  5. Step 5: Solve for x
    x = 328,219,035.16/20,533.88
  6. Step 6: Final answer
    x = 15,984.27

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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.