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Finding the Fourth Proportional to 16,014.73, 22,098.65 and 9,299.04

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Solution

The fourth proportional to 16,014.73, 22,098.65 and 9,299.04 is: 12,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.73 : 22,098.65 = 9,299.04 : x
  2. Step 2: Convert to fraction form
    16,014.73/22,098.65 = 9,299.04/x
  3. Step 3: Cross multiply
    16,014.73x = 22,098.65 × 9,299.04
  4. Step 4: Simplify right side
    16,014.73x = 205,496,301.54
  5. Step 5: Solve for x
    x = 205,496,301.54/16,014.73
  6. Step 6: Final answer
    x = 12,831.71

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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.