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Finding the Fourth Proportional to 16,299.38, 22,495.54 and 10,331.60

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Solution

The fourth proportional to 16,299.38, 22,495.54 and 10,331.60 is: 14,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.38 : 22,495.54 = 10,331.60 : x
  2. Step 2: Convert to fraction form
    16,299.38/22,495.54 = 10,331.60/x
  3. Step 3: Cross multiply
    16,299.38x = 22,495.54 × 10,331.60
  4. Step 4: Simplify right side
    16,299.38x = 232,414,921.06
  5. Step 5: Solve for x
    x = 232,414,921.06/16,299.38
  6. Step 6: Final answer
    x = 14,259.13

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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.