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Finding the Fourth Proportional to 14,438.82, 21,650.13 and 7,027.50

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Solution

The fourth proportional to 14,438.82, 21,650.13 and 7,027.50 is: 10,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.82 : 21,650.13 = 7,027.50 : x
  2. Step 2: Convert to fraction form
    14,438.82/21,650.13 = 7,027.50/x
  3. Step 3: Cross multiply
    14,438.82x = 21,650.13 × 7,027.50
  4. Step 4: Simplify right side
    14,438.82x = 152,146,288.58
  5. Step 5: Solve for x
    x = 152,146,288.58/14,438.82
  6. Step 6: Final answer
    x = 10,537.31

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