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Finding the Fourth Proportional to 23,205.88, 34,807.60 and 6,563.76

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Solution

The fourth proportional to 23,205.88, 34,807.60 and 6,563.76 is: 9,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.88 : 34,807.60 = 6,563.76 : x
  2. Step 2: Convert to fraction form
    23,205.88/34,807.60 = 6,563.76/x
  3. Step 3: Cross multiply
    23,205.88x = 34,807.60 × 6,563.76
  4. Step 4: Simplify right side
    23,205.88x = 228,468,732.58
  5. Step 5: Solve for x
    x = 228,468,732.58/23,205.88
  6. Step 6: Final answer
    x = 9,845.29

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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.