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Finding the Fourth Proportional to 14,471.04, 19,962.24 and 9,163.92

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Solution

The fourth proportional to 14,471.04, 19,962.24 and 9,163.92 is: 12,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.04 : 19,962.24 = 9,163.92 : x
  2. Step 2: Convert to fraction form
    14,471.04/19,962.24 = 9,163.92/x
  3. Step 3: Cross multiply
    14,471.04x = 19,962.24 × 9,163.92
  4. Step 4: Simplify right side
    14,471.04x = 182,932,370.38
  5. Step 5: Solve for x
    x = 182,932,370.38/14,471.04
  6. Step 6: Final answer
    x = 12,641.27

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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.