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Finding the Fourth Proportional to 16,298.15, 22,491.98 and 9,224.42

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Solution

The fourth proportional to 16,298.15, 22,491.98 and 9,224.42 is: 12,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.15 : 22,491.98 = 9,224.42 : x
  2. Step 2: Convert to fraction form
    16,298.15/22,491.98 = 9,224.42/x
  3. Step 3: Cross multiply
    16,298.15x = 22,491.98 × 9,224.42
  4. Step 4: Simplify right side
    16,298.15x = 207,475,311.57
  5. Step 5: Solve for x
    x = 207,475,311.57/16,298.15
  6. Step 6: Final answer
    x = 12,730.00

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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.