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Finding the Fourth Proportional to 14,141.88, 19,513.56 and 8,174.40

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Solution

The fourth proportional to 14,141.88, 19,513.56 and 8,174.40 is: 11,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.88 : 19,513.56 = 8,174.40 : x
  2. Step 2: Convert to fraction form
    14,141.88/19,513.56 = 8,174.40/x
  3. Step 3: Cross multiply
    14,141.88x = 19,513.56 × 8,174.40
  4. Step 4: Simplify right side
    14,141.88x = 159,511,644.86
  5. Step 5: Solve for x
    x = 159,511,644.86/14,141.88
  6. Step 6: Final answer
    x = 11,279.38

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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.