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Finding the Fourth Proportional to 17,704.63, 24,433.82 and 10,151.66

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Solution

The fourth proportional to 17,704.63, 24,433.82 and 10,151.66 is: 14,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.63 : 24,433.82 = 10,151.66 : x
  2. Step 2: Convert to fraction form
    17,704.63/24,433.82 = 10,151.66/x
  3. Step 3: Cross multiply
    17,704.63x = 24,433.82 × 10,151.66
  4. Step 4: Simplify right side
    17,704.63x = 248,043,946.38
  5. Step 5: Solve for x
    x = 248,043,946.38/17,704.63
  6. Step 6: Final answer
    x = 14,010.12

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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.