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Finding the Fourth Proportional to 17,723.38, 24,461.80 and 10,174.81

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Solution

The fourth proportional to 17,723.38, 24,461.80 and 10,174.81 is: 14,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.38 : 24,461.80 = 10,174.81 : x
  2. Step 2: Convert to fraction form
    17,723.38/24,461.80 = 10,174.81/x
  3. Step 3: Cross multiply
    17,723.38x = 24,461.80 × 10,174.81
  4. Step 4: Simplify right side
    17,723.38x = 248,894,080.67
  5. Step 5: Solve for x
    x = 248,894,080.67/17,723.38
  6. Step 6: Final answer
    x = 14,043.26

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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.