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Finding the Fourth Proportional to 14,207.88, 19,609.38 and 8,907.24

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Solution

The fourth proportional to 14,207.88, 19,609.38 and 8,907.24 is: 12,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.88 : 19,609.38 = 8,907.24 : x
  2. Step 2: Convert to fraction form
    14,207.88/19,609.38 = 8,907.24/x
  3. Step 3: Cross multiply
    14,207.88x = 19,609.38 × 8,907.24
  4. Step 4: Simplify right side
    14,207.88x = 174,665,453.91
  5. Step 5: Solve for x
    x = 174,665,453.91/14,207.88
  6. Step 6: Final answer
    x = 12,293.56

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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.