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Finding the Fourth Proportional to 11,828.38, 17,704.29 and 8,707.72

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Solution

The fourth proportional to 11,828.38, 17,704.29 and 8,707.72 is: 13,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.38 : 17,704.29 = 8,707.72 : x
  2. Step 2: Convert to fraction form
    11,828.38/17,704.29 = 8,707.72/x
  3. Step 3: Cross multiply
    11,828.38x = 17,704.29 × 8,707.72
  4. Step 4: Simplify right side
    11,828.38x = 154,164,000.12
  5. Step 5: Solve for x
    x = 154,164,000.12/11,828.38
  6. Step 6: Final answer
    x = 13,033.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.