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Finding the Fourth Proportional to 13,409.81, 20,114.94 and 4,644.99

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Solution

The fourth proportional to 13,409.81, 20,114.94 and 4,644.99 is: 6,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.81 : 20,114.94 = 4,644.99 : x
  2. Step 2: Convert to fraction form
    13,409.81/20,114.94 = 4,644.99/x
  3. Step 3: Cross multiply
    13,409.81x = 20,114.94 × 4,644.99
  4. Step 4: Simplify right side
    13,409.81x = 93,433,695.15
  5. Step 5: Solve for x
    x = 93,433,695.15/13,409.81
  6. Step 6: Final answer
    x = 6,967.57

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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.