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Finding the Fourth Proportional to 14,469.91, 21,708.98 and 4,609.95

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Solution

The fourth proportional to 14,469.91, 21,708.98 and 4,609.95 is: 6,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.91 : 21,708.98 = 4,609.95 : x
  2. Step 2: Convert to fraction form
    14,469.91/21,708.98 = 4,609.95/x
  3. Step 3: Cross multiply
    14,469.91x = 21,708.98 × 4,609.95
  4. Step 4: Simplify right side
    14,469.91x = 100,077,289.30
  5. Step 5: Solve for x
    x = 100,077,289.30/14,469.91
  6. Step 6: Final answer
    x = 6,916.24

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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.