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Finding the Fourth Proportional to 17,703.36, 24,429.74 and 9,744.05

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Solution

The fourth proportional to 17,703.36, 24,429.74 and 9,744.05 is: 13,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.36 : 24,429.74 = 9,744.05 : x
  2. Step 2: Convert to fraction form
    17,703.36/24,429.74 = 9,744.05/x
  3. Step 3: Cross multiply
    17,703.36x = 24,429.74 × 9,744.05
  4. Step 4: Simplify right side
    17,703.36x = 238,044,620.40
  5. Step 5: Solve for x
    x = 238,044,620.40/17,703.36
  6. Step 6: Final answer
    x = 13,446.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.