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Finding the Fourth Proportional to 13,707.77, 20,559.31 and 4,941.41

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Solution

The fourth proportional to 13,707.77, 20,559.31 and 4,941.41 is: 7,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.77 : 20,559.31 = 4,941.41 : x
  2. Step 2: Convert to fraction form
    13,707.77/20,559.31 = 4,941.41/x
  3. Step 3: Cross multiply
    13,707.77x = 20,559.31 × 4,941.41
  4. Step 4: Simplify right side
    13,707.77x = 101,591,980.03
  5. Step 5: Solve for x
    x = 101,591,980.03/13,707.77
  6. Step 6: Final answer
    x = 7,411.27

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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.