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Finding the Fourth Proportional to 13,778.10, 20,661.84 and 4,415.58

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Solution

The fourth proportional to 13,778.10, 20,661.84 and 4,415.58 is: 6,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.10 : 20,661.84 = 4,415.58 : x
  2. Step 2: Convert to fraction form
    13,778.10/20,661.84 = 4,415.58/x
  3. Step 3: Cross multiply
    13,778.10x = 20,661.84 × 4,415.58
  4. Step 4: Simplify right side
    13,778.10x = 91,234,007.47
  5. Step 5: Solve for x
    x = 91,234,007.47/13,778.10
  6. Step 6: Final answer
    x = 6,621.67

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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.