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Finding the Fourth Proportional to 14,649.57, 21,976.17 and 4,789.83

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Solution

The fourth proportional to 14,649.57, 21,976.17 and 4,789.83 is: 7,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.57 : 21,976.17 = 4,789.83 : x
  2. Step 2: Convert to fraction form
    14,649.57/21,976.17 = 4,789.83/x
  3. Step 3: Cross multiply
    14,649.57x = 21,976.17 × 4,789.83
  4. Step 4: Simplify right side
    14,649.57x = 105,262,118.35
  5. Step 5: Solve for x
    x = 105,262,118.35/14,649.57
  6. Step 6: Final answer
    x = 7,185.34

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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.