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Finding the Fourth Proportional to 16,299.63, 24,447.42 and 4,613.76

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Solution

The fourth proportional to 16,299.63, 24,447.42 and 4,613.76 is: 6,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.63 : 24,447.42 = 4,613.76 : x
  2. Step 2: Convert to fraction form
    16,299.63/24,447.42 = 4,613.76/x
  3. Step 3: Cross multiply
    16,299.63x = 24,447.42 × 4,613.76
  4. Step 4: Simplify right side
    16,299.63x = 112,794,528.50
  5. Step 5: Solve for x
    x = 112,794,528.50/16,299.63
  6. Step 6: Final answer
    x = 6,920.07

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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.