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Finding the Fourth Proportional to 16,297.91, 22,486.58 and 9,224.18

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Solution

The fourth proportional to 16,297.91, 22,486.58 and 9,224.18 is: 12,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.91 : 22,486.58 = 9,224.18 : x
  2. Step 2: Convert to fraction form
    16,297.91/22,486.58 = 9,224.18/x
  3. Step 3: Cross multiply
    16,297.91x = 22,486.58 × 9,224.18
  4. Step 4: Simplify right side
    16,297.91x = 207,420,261.50
  5. Step 5: Solve for x
    x = 207,420,261.50/16,297.91
  6. Step 6: Final answer
    x = 12,726.80

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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.