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Finding the Fourth Proportional to 16,206.57, 24,313.95 and 4,519.79

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Solution

The fourth proportional to 16,206.57, 24,313.95 and 4,519.79 is: 6,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.57 : 24,313.95 = 4,519.79 : x
  2. Step 2: Convert to fraction form
    16,206.57/24,313.95 = 4,519.79/x
  3. Step 3: Cross multiply
    16,206.57x = 24,313.95 × 4,519.79
  4. Step 4: Simplify right side
    16,206.57x = 109,893,826.50
  5. Step 5: Solve for x
    x = 109,893,826.50/16,206.57
  6. Step 6: Final answer
    x = 6,780.82

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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.