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Finding the Fourth Proportional to 21,745.25, 32,630.16 and 9,263.96

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Solution

The fourth proportional to 21,745.25, 32,630.16 and 9,263.96 is: 13,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.25 : 32,630.16 = 9,263.96 : x
  2. Step 2: Convert to fraction form
    21,745.25/32,630.16 = 9,263.96/x
  3. Step 3: Cross multiply
    21,745.25x = 32,630.16 × 9,263.96
  4. Step 4: Simplify right side
    21,745.25x = 302,284,333.88
  5. Step 5: Solve for x
    x = 302,284,333.88/21,745.25
  6. Step 6: Final answer
    x = 13,901.17

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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.