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Finding the Fourth Proportional to 16,316.56, 22,526.40 and 11,836

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Solution

The fourth proportional to 16,316.56, 22,526.40 and 11,836 is: 16,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.56 : 22,526.40 = 11,836 : x
  2. Step 2: Convert to fraction form
    16,316.56/22,526.40 = 11,836/x
  3. Step 3: Cross multiply
    16,316.56x = 22,526.40 × 11,836
  4. Step 4: Simplify right side
    16,316.56x = 266,622,470.40
  5. Step 5: Solve for x
    x = 266,622,470.40/16,316.56
  6. Step 6: Final answer
    x = 16,340.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.