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Finding the Fourth Proportional to 16,298.39, 22,492.11 and 9,224.81

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Solution

The fourth proportional to 16,298.39, 22,492.11 and 9,224.81 is: 12,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.39 : 22,492.11 = 9,224.81 : x
  2. Step 2: Convert to fraction form
    16,298.39/22,492.11 = 9,224.81/x
  3. Step 3: Cross multiply
    16,298.39x = 22,492.11 × 9,224.81
  4. Step 4: Simplify right side
    16,298.39x = 207,485,441.25
  5. Step 5: Solve for x
    x = 207,485,441.25/16,298.39
  6. Step 6: Final answer
    x = 12,730.43

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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.