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Finding the Fourth Proportional to 13,742.51, 20,617.01 and 10,941.94

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Solution

The fourth proportional to 13,742.51, 20,617.01 and 10,941.94 is: 16,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.51 : 20,617.01 = 10,941.94 : x
  2. Step 2: Convert to fraction form
    13,742.51/20,617.01 = 10,941.94/x
  3. Step 3: Cross multiply
    13,742.51x = 20,617.01 × 10,941.94
  4. Step 4: Simplify right side
    13,742.51x = 225,590,086.40
  5. Step 5: Solve for x
    x = 225,590,086.40/13,742.51
  6. Step 6: Final answer
    x = 16,415.49

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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.