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Finding the Fourth Proportional to 16,421.65, 22,662 and 9,348.52

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Solution

The fourth proportional to 16,421.65, 22,662 and 9,348.52 is: 12,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.65 : 22,662 = 9,348.52 : x
  2. Step 2: Convert to fraction form
    16,421.65/22,662 = 9,348.52/x
  3. Step 3: Cross multiply
    16,421.65x = 22,662 × 9,348.52
  4. Step 4: Simplify right side
    16,421.65x = 211,856,160.24
  5. Step 5: Solve for x
    x = 211,856,160.24/16,421.65
  6. Step 6: Final answer
    x = 12,901.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.