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Finding the Fourth Proportional to 16,038, 22,142.16 and 10,458.72

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Solution

The fourth proportional to 16,038, 22,142.16 and 10,458.72 is: 14,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 22,142.16 = 10,458.72 : x
  2. Step 2: Convert to fraction form
    16,038/22,142.16 = 10,458.72/x
  3. Step 3: Cross multiply
    16,038x = 22,142.16 × 10,458.72
  4. Step 4: Simplify right side
    16,038x = 231,578,651.64
  5. Step 5: Solve for x
    x = 231,578,651.64/16,038
  6. Step 6: Final answer
    x = 14,439.37

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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.