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Finding the Fourth Proportional to 13,778.32, 20,668.84 and 4,415.98

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Solution

The fourth proportional to 13,778.32, 20,668.84 and 4,415.98 is: 6,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.32 : 20,668.84 = 4,415.98 : x
  2. Step 2: Convert to fraction form
    13,778.32/20,668.84 = 4,415.98/x
  3. Step 3: Cross multiply
    13,778.32x = 20,668.84 × 4,415.98
  4. Step 4: Simplify right side
    13,778.32x = 91,273,184.06
  5. Step 5: Solve for x
    x = 91,273,184.06/13,778.32
  6. Step 6: Final answer
    x = 6,624.41

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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.