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Finding the Fourth Proportional to 16,297.44, 22,493.96 and 9,926.12

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Solution

The fourth proportional to 16,297.44, 22,493.96 and 9,926.12 is: 13,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.44 : 22,493.96 = 9,926.12 : x
  2. Step 2: Convert to fraction form
    16,297.44/22,493.96 = 9,926.12/x
  3. Step 3: Cross multiply
    16,297.44x = 22,493.96 × 9,926.12
  4. Step 4: Simplify right side
    16,297.44x = 223,277,746.24
  5. Step 5: Solve for x
    x = 223,277,746.24/16,297.44
  6. Step 6: Final answer
    x = 13,700.17

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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.