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Finding the Fourth Proportional to 14,826, 20,463.30 and 9,791.22

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Solution

The fourth proportional to 14,826, 20,463.30 and 9,791.22 is: 13,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826 : 20,463.30 = 9,791.22 : x
  2. Step 2: Convert to fraction form
    14,826/20,463.30 = 9,791.22/x
  3. Step 3: Cross multiply
    14,826x = 20,463.30 × 9,791.22
  4. Step 4: Simplify right side
    14,826x = 200,360,672.23
  5. Step 5: Solve for x
    x = 200,360,672.23/14,826
  6. Step 6: Final answer
    x = 13,514.14

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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.