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Finding the Fourth Proportional to 14,296.14, 19,725.86 and 8,987.87

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Solution

The fourth proportional to 14,296.14, 19,725.86 and 8,987.87 is: 12,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.14 : 19,725.86 = 8,987.87 : x
  2. Step 2: Convert to fraction form
    14,296.14/19,725.86 = 8,987.87/x
  3. Step 3: Cross multiply
    14,296.14x = 19,725.86 × 8,987.87
  4. Step 4: Simplify right side
    14,296.14x = 177,293,540.38
  5. Step 5: Solve for x
    x = 177,293,540.38/14,296.14
  6. Step 6: Final answer
    x = 12,401.50

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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.