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Finding the Fourth Proportional to 14,415.75, 21,627.27 and 4,027.50

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Solution

The fourth proportional to 14,415.75, 21,627.27 and 4,027.50 is: 6,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.75 : 21,627.27 = 4,027.50 : x
  2. Step 2: Convert to fraction form
    14,415.75/21,627.27 = 4,027.50/x
  3. Step 3: Cross multiply
    14,415.75x = 21,627.27 × 4,027.50
  4. Step 4: Simplify right side
    14,415.75x = 87,103,829.93
  5. Step 5: Solve for x
    x = 87,103,829.93/14,415.75
  6. Step 6: Final answer
    x = 6,042.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.