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Finding the Fourth Proportional to 16,712.22, 23,057.16 and 9,536.98

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Solution

The fourth proportional to 16,712.22, 23,057.16 and 9,536.98 is: 13,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712.22 : 23,057.16 = 9,536.98 : x
  2. Step 2: Convert to fraction form
    16,712.22/23,057.16 = 9,536.98/x
  3. Step 3: Cross multiply
    16,712.22x = 23,057.16 × 9,536.98
  4. Step 4: Simplify right side
    16,712.22x = 219,895,673.78
  5. Step 5: Solve for x
    x = 219,895,673.78/16,712.22
  6. Step 6: Final answer
    x = 13,157.78

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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.