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Finding the Fourth Proportional to 16,298.32, 22,491.02 and 9,224.90

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Solution

The fourth proportional to 16,298.32, 22,491.02 and 9,224.90 is: 12,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.32 : 22,491.02 = 9,224.90 : x
  2. Step 2: Convert to fraction form
    16,298.32/22,491.02 = 9,224.90/x
  3. Step 3: Cross multiply
    16,298.32x = 22,491.02 × 9,224.90
  4. Step 4: Simplify right side
    16,298.32x = 207,477,410.40
  5. Step 5: Solve for x
    x = 207,477,410.40/16,298.32
  6. Step 6: Final answer
    x = 12,729.99

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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.