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Finding the Fourth Proportional to 16,652.82, 22,981.14 and 9,099.30

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Solution

The fourth proportional to 16,652.82, 22,981.14 and 9,099.30 is: 12,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.82 : 22,981.14 = 9,099.30 : x
  2. Step 2: Convert to fraction form
    16,652.82/22,981.14 = 9,099.30/x
  3. Step 3: Cross multiply
    16,652.82x = 22,981.14 × 9,099.30
  4. Step 4: Simplify right side
    16,652.82x = 209,112,287.20
  5. Step 5: Solve for x
    x = 209,112,287.20/16,652.82
  6. Step 6: Final answer
    x = 12,557.17

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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.