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Finding the Fourth Proportional to 21,429.32, 32,143.97 and 9,745.88

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Solution

The fourth proportional to 21,429.32, 32,143.97 and 9,745.88 is: 14,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429.32 : 32,143.97 = 9,745.88 : x
  2. Step 2: Convert to fraction form
    21,429.32/32,143.97 = 9,745.88/x
  3. Step 3: Cross multiply
    21,429.32x = 32,143.97 × 9,745.88
  4. Step 4: Simplify right side
    21,429.32x = 313,271,064.89
  5. Step 5: Solve for x
    x = 313,271,064.89/21,429.32
  6. Step 6: Final answer
    x = 14,618.81

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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.