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Finding the Fourth Proportional to 16,236.54, 22,406.43 and 9,164.46

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Solution

The fourth proportional to 16,236.54, 22,406.43 and 9,164.46 is: 12,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.54 : 22,406.43 = 9,164.46 : x
  2. Step 2: Convert to fraction form
    16,236.54/22,406.43 = 9,164.46/x
  3. Step 3: Cross multiply
    16,236.54x = 22,406.43 × 9,164.46
  4. Step 4: Simplify right side
    16,236.54x = 205,342,831.48
  5. Step 5: Solve for x
    x = 205,342,831.48/16,236.54
  6. Step 6: Final answer
    x = 12,646.96

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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.