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Finding the Fourth Proportional to 21,429.31, 32,143.96 and 9,745.87

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Solution

The fourth proportional to 21,429.31, 32,143.96 and 9,745.87 is: 14,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429.31 : 32,143.96 = 9,745.87 : x
  2. Step 2: Convert to fraction form
    21,429.31/32,143.96 = 9,745.87/x
  3. Step 3: Cross multiply
    21,429.31x = 32,143.96 × 9,745.87
  4. Step 4: Simplify right side
    21,429.31x = 313,270,855.45
  5. Step 5: Solve for x
    x = 313,270,855.45/21,429.31
  6. Step 6: Final answer
    x = 14,618.80

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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.