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Finding the Fourth Proportional to 14,469.48, 21,705.96 and 5,107.57

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Solution

The fourth proportional to 14,469.48, 21,705.96 and 5,107.57 is: 7,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.48 : 21,705.96 = 5,107.57 : x
  2. Step 2: Convert to fraction form
    14,469.48/21,705.96 = 5,107.57/x
  3. Step 3: Cross multiply
    14,469.48x = 21,705.96 × 5,107.57
  4. Step 4: Simplify right side
    14,469.48x = 110,864,710.12
  5. Step 5: Solve for x
    x = 110,864,710.12/14,469.48
  6. Step 6: Final answer
    x = 7,661.97

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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.