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Finding the Fourth Proportional to 16,469.68, 22,729.44 and 9,398.20

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Solution

The fourth proportional to 16,469.68, 22,729.44 and 9,398.20 is: 12,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.68 : 22,729.44 = 9,398.20 : x
  2. Step 2: Convert to fraction form
    16,469.68/22,729.44 = 9,398.20/x
  3. Step 3: Cross multiply
    16,469.68x = 22,729.44 × 9,398.20
  4. Step 4: Simplify right side
    16,469.68x = 213,615,823.01
  5. Step 5: Solve for x
    x = 213,615,823.01/16,469.68
  6. Step 6: Final answer
    x = 12,970.25

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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.