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Finding the Fourth Proportional to 16,299.82, 22,492.11 and 9,225.01

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Solution

The fourth proportional to 16,299.82, 22,492.11 and 9,225.01 is: 12,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.82 : 22,492.11 = 9,225.01 : x
  2. Step 2: Convert to fraction form
    16,299.82/22,492.11 = 9,225.01/x
  3. Step 3: Cross multiply
    16,299.82x = 22,492.11 × 9,225.01
  4. Step 4: Simplify right side
    16,299.82x = 207,489,939.67
  5. Step 5: Solve for x
    x = 207,489,939.67/16,299.82
  6. Step 6: Final answer
    x = 12,729.58

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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.