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Finding the Fourth Proportional to 16,295.31, 24,442.52 and 5,202.68

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Solution

The fourth proportional to 16,295.31, 24,442.52 and 5,202.68 is: 7,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.31 : 24,442.52 = 5,202.68 : x
  2. Step 2: Convert to fraction form
    16,295.31/24,442.52 = 5,202.68/x
  3. Step 3: Cross multiply
    16,295.31x = 24,442.52 × 5,202.68
  4. Step 4: Simplify right side
    16,295.31x = 127,166,461.73
  5. Step 5: Solve for x
    x = 127,166,461.73/16,295.31
  6. Step 6: Final answer
    x = 7,803.87

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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.