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Finding the Fourth Proportional to 16,039.32, 24,059 and 4,352.54

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Solution

The fourth proportional to 16,039.32, 24,059 and 4,352.54 is: 6,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.32 : 24,059 = 4,352.54 : x
  2. Step 2: Convert to fraction form
    16,039.32/24,059 = 4,352.54/x
  3. Step 3: Cross multiply
    16,039.32x = 24,059 × 4,352.54
  4. Step 4: Simplify right side
    16,039.32x = 104,717,759.86
  5. Step 5: Solve for x
    x = 104,717,759.86/16,039.32
  6. Step 6: Final answer
    x = 6,528.82

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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.