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Finding the Fourth Proportional to 13,776.81, 20,663.16 and 4,415.85

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Solution

The fourth proportional to 13,776.81, 20,663.16 and 4,415.85 is: 6,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.81 : 20,663.16 = 4,415.85 : x
  2. Step 2: Convert to fraction form
    13,776.81/20,663.16 = 4,415.85/x
  3. Step 3: Cross multiply
    13,776.81x = 20,663.16 × 4,415.85
  4. Step 4: Simplify right side
    13,776.81x = 91,245,415.09
  5. Step 5: Solve for x
    x = 91,245,415.09/13,776.81
  6. Step 6: Final answer
    x = 6,623.12

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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.