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Finding the Fourth Proportional to 16,357.78, 24,540.30 and 5,969.50

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Solution

The fourth proportional to 16,357.78, 24,540.30 and 5,969.50 is: 8,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.78 : 24,540.30 = 5,969.50 : x
  2. Step 2: Convert to fraction form
    16,357.78/24,540.30 = 5,969.50/x
  3. Step 3: Cross multiply
    16,357.78x = 24,540.30 × 5,969.50
  4. Step 4: Simplify right side
    16,357.78x = 146,493,320.85
  5. Step 5: Solve for x
    x = 146,493,320.85/16,357.78
  6. Step 6: Final answer
    x = 8,955.57

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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.