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Finding the Fourth Proportional to 13,738.23, 20,619.50 and 7,503.93

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Solution

The fourth proportional to 13,738.23, 20,619.50 and 7,503.93 is: 11,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.23 : 20,619.50 = 7,503.93 : x
  2. Step 2: Convert to fraction form
    13,738.23/20,619.50 = 7,503.93/x
  3. Step 3: Cross multiply
    13,738.23x = 20,619.50 × 7,503.93
  4. Step 4: Simplify right side
    13,738.23x = 154,727,247.12
  5. Step 5: Solve for x
    x = 154,727,247.12/13,738.23
  6. Step 6: Final answer
    x = 11,262.53

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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.