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Finding the Fourth Proportional to 13,612.81, 18,785.90 and 7,563.44

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Solution

The fourth proportional to 13,612.81, 18,785.90 and 7,563.44 is: 10,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.81 : 18,785.90 = 7,563.44 : x
  2. Step 2: Convert to fraction form
    13,612.81/18,785.90 = 7,563.44/x
  3. Step 3: Cross multiply
    13,612.81x = 18,785.90 × 7,563.44
  4. Step 4: Simplify right side
    13,612.81x = 142,085,945.15
  5. Step 5: Solve for x
    x = 142,085,945.15/13,612.81
  6. Step 6: Final answer
    x = 10,437.67

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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.