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Finding the Fourth Proportional to 16,682.72, 23,020.32 and 9,512.86

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Solution

The fourth proportional to 16,682.72, 23,020.32 and 9,512.86 is: 13,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.72 : 23,020.32 = 9,512.86 : x
  2. Step 2: Convert to fraction form
    16,682.72/23,020.32 = 9,512.86/x
  3. Step 3: Cross multiply
    16,682.72x = 23,020.32 × 9,512.86
  4. Step 4: Simplify right side
    16,682.72x = 218,989,081.32
  5. Step 5: Solve for x
    x = 218,989,081.32/16,682.72
  6. Step 6: Final answer
    x = 13,126.70

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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.