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Finding the Fourth Proportional to 16,682.72, 23,021.15 and 9,511.63

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Solution

The fourth proportional to 16,682.72, 23,021.15 and 9,511.63 is: 13,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.72 : 23,021.15 = 9,511.63 : x
  2. Step 2: Convert to fraction form
    16,682.72/23,021.15 = 9,511.63/x
  3. Step 3: Cross multiply
    16,682.72x = 23,021.15 × 9,511.63
  4. Step 4: Simplify right side
    16,682.72x = 218,968,555.86
  5. Step 5: Solve for x
    x = 218,968,555.86/16,682.72
  6. Step 6: Final answer
    x = 13,125.47

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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.