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Finding the Fourth Proportional to 17,706.72, 24,435.96 and 9,749.67

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Solution

The fourth proportional to 17,706.72, 24,435.96 and 9,749.67 is: 13,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.72 : 24,435.96 = 9,749.67 : x
  2. Step 2: Convert to fraction form
    17,706.72/24,435.96 = 9,749.67/x
  3. Step 3: Cross multiply
    17,706.72x = 24,435.96 × 9,749.67
  4. Step 4: Simplify right side
    17,706.72x = 238,242,546.13
  5. Step 5: Solve for x
    x = 238,242,546.13/17,706.72
  6. Step 6: Final answer
    x = 13,454.92

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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.