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Finding the Fourth Proportional to 13,950.50, 19,256.74 and 9,236.30

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Solution

The fourth proportional to 13,950.50, 19,256.74 and 9,236.30 is: 12,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.50 : 19,256.74 = 9,236.30 : x
  2. Step 2: Convert to fraction form
    13,950.50/19,256.74 = 9,236.30/x
  3. Step 3: Cross multiply
    13,950.50x = 19,256.74 × 9,236.30
  4. Step 4: Simplify right side
    13,950.50x = 177,860,908.29
  5. Step 5: Solve for x
    x = 177,860,908.29/13,950.50
  6. Step 6: Final answer
    x = 12,749.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.