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Finding the Fourth Proportional to 16,028.52, 24,039.76 and 4,340.20

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Solution

The fourth proportional to 16,028.52, 24,039.76 and 4,340.20 is: 6,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028.52 : 24,039.76 = 4,340.20 : x
  2. Step 2: Convert to fraction form
    16,028.52/24,039.76 = 4,340.20/x
  3. Step 3: Cross multiply
    16,028.52x = 24,039.76 × 4,340.20
  4. Step 4: Simplify right side
    16,028.52x = 104,337,366.35
  5. Step 5: Solve for x
    x = 104,337,366.35/16,028.52
  6. Step 6: Final answer
    x = 6,509.48

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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.