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Finding the Fourth Proportional to 17,703.41, 24,430.82 and 9,745.43

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Solution

The fourth proportional to 17,703.41, 24,430.82 and 9,745.43 is: 13,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.41 : 24,430.82 = 9,745.43 : x
  2. Step 2: Convert to fraction form
    17,703.41/24,430.82 = 9,745.43/x
  3. Step 3: Cross multiply
    17,703.41x = 24,430.82 × 9,745.43
  4. Step 4: Simplify right side
    17,703.41x = 238,088,675.27
  5. Step 5: Solve for x
    x = 238,088,675.27/17,703.41
  6. Step 6: Final answer
    x = 13,448.75

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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.