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Finding the Fourth Proportional to 22,505.76, 31,059.60 and 16,564.64

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Solution

The fourth proportional to 22,505.76, 31,059.60 and 16,564.64 is: 22,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.76 : 31,059.60 = 16,564.64 : x
  2. Step 2: Convert to fraction form
    22,505.76/31,059.60 = 16,564.64/x
  3. Step 3: Cross multiply
    22,505.76x = 31,059.60 × 16,564.64
  4. Step 4: Simplify right side
    22,505.76x = 514,491,092.54
  5. Step 5: Solve for x
    x = 514,491,092.54/22,505.76
  6. Step 6: Final answer
    x = 22,860.42

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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.