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Finding the Fourth Proportional to 16,010.92, 22,097.70 and 11,831.08

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Solution

The fourth proportional to 16,010.92, 22,097.70 and 11,831.08 is: 16,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.92 : 22,097.70 = 11,831.08 : x
  2. Step 2: Convert to fraction form
    16,010.92/22,097.70 = 11,831.08/x
  3. Step 3: Cross multiply
    16,010.92x = 22,097.70 × 11,831.08
  4. Step 4: Simplify right side
    16,010.92x = 261,439,656.52
  5. Step 5: Solve for x
    x = 261,439,656.52/16,010.92
  6. Step 6: Final answer
    x = 16,328.83

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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.