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Finding the Fourth Proportional to 11,188.72, 16,849.68 and 9,745.30

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Solution

The fourth proportional to 11,188.72, 16,849.68 and 9,745.30 is: 14,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.72 : 16,849.68 = 9,745.30 : x
  2. Step 2: Convert to fraction form
    11,188.72/16,849.68 = 9,745.30/x
  3. Step 3: Cross multiply
    11,188.72x = 16,849.68 × 9,745.30
  4. Step 4: Simplify right side
    11,188.72x = 164,205,186.50
  5. Step 5: Solve for x
    x = 164,205,186.50/11,188.72
  6. Step 6: Final answer
    x = 14,675.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.