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Finding the Fourth Proportional to 14,640.46, 20,198.38 and 9,607.47

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Solution

The fourth proportional to 14,640.46, 20,198.38 and 9,607.47 is: 13,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.46 : 20,198.38 = 9,607.47 : x
  2. Step 2: Convert to fraction form
    14,640.46/20,198.38 = 9,607.47/x
  3. Step 3: Cross multiply
    14,640.46x = 20,198.38 × 9,607.47
  4. Step 4: Simplify right side
    14,640.46x = 194,055,329.90
  5. Step 5: Solve for x
    x = 194,055,329.90/14,640.46
  6. Step 6: Final answer
    x = 13,254.73

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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.