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Finding the Fourth Proportional to 21,745.94, 32,633.52 and 7,705.91

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Solution

The fourth proportional to 21,745.94, 32,633.52 and 7,705.91 is: 11,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.94 : 32,633.52 = 7,705.91 : x
  2. Step 2: Convert to fraction form
    21,745.94/32,633.52 = 7,705.91/x
  3. Step 3: Cross multiply
    21,745.94x = 32,633.52 × 7,705.91
  4. Step 4: Simplify right side
    21,745.94x = 251,470,968.10
  5. Step 5: Solve for x
    x = 251,470,968.10/21,745.94
  6. Step 6: Final answer
    x = 11,564.04

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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.