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Finding the Fourth Proportional to 16,053.24, 24,081.78 and 4,809.24

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Solution

The fourth proportional to 16,053.24, 24,081.78 and 4,809.24 is: 7,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.24 : 24,081.78 = 4,809.24 : x
  2. Step 2: Convert to fraction form
    16,053.24/24,081.78 = 4,809.24/x
  3. Step 3: Cross multiply
    16,053.24x = 24,081.78 × 4,809.24
  4. Step 4: Simplify right side
    16,053.24x = 115,815,059.65
  5. Step 5: Solve for x
    x = 115,815,059.65/16,053.24
  6. Step 6: Final answer
    x = 7,214.44

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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.