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Finding the Fourth Proportional to 16,523.12, 22,797.88 and 9,353.20

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Solution

The fourth proportional to 16,523.12, 22,797.88 and 9,353.20 is: 12,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.12 : 22,797.88 = 9,353.20 : x
  2. Step 2: Convert to fraction form
    16,523.12/22,797.88 = 9,353.20/x
  3. Step 3: Cross multiply
    16,523.12x = 22,797.88 × 9,353.20
  4. Step 4: Simplify right side
    16,523.12x = 213,233,131.22
  5. Step 5: Solve for x
    x = 213,233,131.22/16,523.12
  6. Step 6: Final answer
    x = 12,905.14

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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.