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Finding the Fourth Proportional to 14,087.73, 19,440.21 and 7,714.40

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Solution

The fourth proportional to 14,087.73, 19,440.21 and 7,714.40 is: 10,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.73 : 19,440.21 = 7,714.40 : x
  2. Step 2: Convert to fraction form
    14,087.73/19,440.21 = 7,714.40/x
  3. Step 3: Cross multiply
    14,087.73x = 19,440.21 × 7,714.40
  4. Step 4: Simplify right side
    14,087.73x = 149,969,420.25
  5. Step 5: Solve for x
    x = 149,969,420.25/14,087.73
  6. Step 6: Final answer
    x = 10,645.39

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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.