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Finding the Fourth Proportional to 11,640.72, 17,451.30 and 9,444

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Solution

The fourth proportional to 11,640.72, 17,451.30 and 9,444 is: 14,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.72 : 17,451.30 = 9,444 : x
  2. Step 2: Convert to fraction form
    11,640.72/17,451.30 = 9,444/x
  3. Step 3: Cross multiply
    11,640.72x = 17,451.30 × 9,444
  4. Step 4: Simplify right side
    11,640.72x = 164,810,077.20
  5. Step 5: Solve for x
    x = 164,810,077.20/11,640.72
  6. Step 6: Final answer
    x = 14,158.07

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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.