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Finding the Fourth Proportional to 16,018.14, 22,104.99 and 8,946.24

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Solution

The fourth proportional to 16,018.14, 22,104.99 and 8,946.24 is: 12,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018.14 : 22,104.99 = 8,946.24 : x
  2. Step 2: Convert to fraction form
    16,018.14/22,104.99 = 8,946.24/x
  3. Step 3: Cross multiply
    16,018.14x = 22,104.99 × 8,946.24
  4. Step 4: Simplify right side
    16,018.14x = 197,756,545.74
  5. Step 5: Solve for x
    x = 197,756,545.74/16,018.14
  6. Step 6: Final answer
    x = 12,345.79

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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.