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Finding the Fourth Proportional to 17,661.46, 24,372.80 and 9,703.67

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Solution

The fourth proportional to 17,661.46, 24,372.80 and 9,703.67 is: 13,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.46 : 24,372.80 = 9,703.67 : x
  2. Step 2: Convert to fraction form
    17,661.46/24,372.80 = 9,703.67/x
  3. Step 3: Cross multiply
    17,661.46x = 24,372.80 × 9,703.67
  4. Step 4: Simplify right side
    17,661.46x = 236,505,437.79
  5. Step 5: Solve for x
    x = 236,505,437.79/17,661.46
  6. Step 6: Final answer
    x = 13,391.05

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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.