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Finding the Fourth Proportional to 18,896.58, 28,342.71 and 5,046.66

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Solution

The fourth proportional to 18,896.58, 28,342.71 and 5,046.66 is: 7,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896.58 : 28,342.71 = 5,046.66 : x
  2. Step 2: Convert to fraction form
    18,896.58/28,342.71 = 5,046.66/x
  3. Step 3: Cross multiply
    18,896.58x = 28,342.71 × 5,046.66
  4. Step 4: Simplify right side
    18,896.58x = 143,036,020.85
  5. Step 5: Solve for x
    x = 143,036,020.85/18,896.58
  6. Step 6: Final answer
    x = 7,569.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.