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Finding the Fourth Proportional to 13,770.81, 20,649.87 and 4,409.10

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Solution

The fourth proportional to 13,770.81, 20,649.87 and 4,409.10 is: 6,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.81 : 20,649.87 = 4,409.10 : x
  2. Step 2: Convert to fraction form
    13,770.81/20,649.87 = 4,409.10/x
  3. Step 3: Cross multiply
    13,770.81x = 20,649.87 × 4,409.10
  4. Step 4: Simplify right side
    13,770.81x = 91,047,341.82
  5. Step 5: Solve for x
    x = 91,047,341.82/13,770.81
  6. Step 6: Final answer
    x = 6,611.62

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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.