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Finding the Fourth Proportional to 16,294.91, 24,442.79 and 5,201.58

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Solution

The fourth proportional to 16,294.91, 24,442.79 and 5,201.58 is: 7,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.91 : 24,442.79 = 5,201.58 : x
  2. Step 2: Convert to fraction form
    16,294.91/24,442.79 = 5,201.58/x
  3. Step 3: Cross multiply
    16,294.91x = 24,442.79 × 5,201.58
  4. Step 4: Simplify right side
    16,294.91x = 127,141,101.60
  5. Step 5: Solve for x
    x = 127,141,101.60/16,294.91
  6. Step 6: Final answer
    x = 7,802.51

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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.