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Finding the Fourth Proportional to 17,675.09, 24,391.70 and 9,717.83

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Solution

The fourth proportional to 17,675.09, 24,391.70 and 9,717.83 is: 13,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.09 : 24,391.70 = 9,717.83 : x
  2. Step 2: Convert to fraction form
    17,675.09/24,391.70 = 9,717.83/x
  3. Step 3: Cross multiply
    17,675.09x = 24,391.70 × 9,717.83
  4. Step 4: Simplify right side
    17,675.09x = 237,034,223.46
  5. Step 5: Solve for x
    x = 237,034,223.46/17,675.09
  6. Step 6: Final answer
    x = 13,410.64

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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.