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Finding the Fourth Proportional to 15,867.83, 23,803.79 and 5,333.31

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Solution

The fourth proportional to 15,867.83, 23,803.79 and 5,333.31 is: 8,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867.83 : 23,803.79 = 5,333.31 : x
  2. Step 2: Convert to fraction form
    15,867.83/23,803.79 = 5,333.31/x
  3. Step 3: Cross multiply
    15,867.83x = 23,803.79 × 5,333.31
  4. Step 4: Simplify right side
    15,867.83x = 126,952,991.24
  5. Step 5: Solve for x
    x = 126,952,991.24/15,867.83
  6. Step 6: Final answer
    x = 8,000.65

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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.