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Finding the Fourth Proportional to 17,703.43, 24,429.83 and 9,744.12

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Solution

The fourth proportional to 17,703.43, 24,429.83 and 9,744.12 is: 13,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.43 : 24,429.83 = 9,744.12 : x
  2. Step 2: Convert to fraction form
    17,703.43/24,429.83 = 9,744.12/x
  3. Step 3: Cross multiply
    17,703.43x = 24,429.83 × 9,744.12
  4. Step 4: Simplify right side
    17,703.43x = 238,047,146.38
  5. Step 5: Solve for x
    x = 238,047,146.38/17,703.43
  6. Step 6: Final answer
    x = 13,446.39

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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.