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Finding the Fourth Proportional to 16,561.97, 22,855.52 and 9,492.49

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Solution

The fourth proportional to 16,561.97, 22,855.52 and 9,492.49 is: 13,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.97 : 22,855.52 = 9,492.49 : x
  2. Step 2: Convert to fraction form
    16,561.97/22,855.52 = 9,492.49/x
  3. Step 3: Cross multiply
    16,561.97x = 22,855.52 × 9,492.49
  4. Step 4: Simplify right side
    16,561.97x = 216,955,793.95
  5. Step 5: Solve for x
    x = 216,955,793.95/16,561.97
  6. Step 6: Final answer
    x = 13,099.64

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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.