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Finding the Fourth Proportional to 13,722.71, 18,935.64 and 9,742.37

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Solution

The fourth proportional to 13,722.71, 18,935.64 and 9,742.37 is: 13,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.71 : 18,935.64 = 9,742.37 : x
  2. Step 2: Convert to fraction form
    13,722.71/18,935.64 = 9,742.37/x
  3. Step 3: Cross multiply
    13,722.71x = 18,935.64 × 9,742.37
  4. Step 4: Simplify right side
    13,722.71x = 184,477,916.39
  5. Step 5: Solve for x
    x = 184,477,916.39/13,722.71
  6. Step 6: Final answer
    x = 13,443.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.