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Finding the Fourth Proportional to 13,612.33, 20,416.02 and 3,749.50

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Solution

The fourth proportional to 13,612.33, 20,416.02 and 3,749.50 is: 5,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.33 : 20,416.02 = 3,749.50 : x
  2. Step 2: Convert to fraction form
    13,612.33/20,416.02 = 3,749.50/x
  3. Step 3: Cross multiply
    13,612.33x = 20,416.02 × 3,749.50
  4. Step 4: Simplify right side
    13,612.33x = 76,549,866.99
  5. Step 5: Solve for x
    x = 76,549,866.99/13,612.33
  6. Step 6: Final answer
    x = 5,623.57

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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.