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Finding the Fourth Proportional to 13,742.94, 18,965.24 and 7,455.32

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Solution

The fourth proportional to 13,742.94, 18,965.24 and 7,455.32 is: 10,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.94 : 18,965.24 = 7,455.32 : x
  2. Step 2: Convert to fraction form
    13,742.94/18,965.24 = 7,455.32/x
  3. Step 3: Cross multiply
    13,742.94x = 18,965.24 × 7,455.32
  4. Step 4: Simplify right side
    13,742.94x = 141,391,933.08
  5. Step 5: Solve for x
    x = 141,391,933.08/13,742.94
  6. Step 6: Final answer
    x = 10,288.33

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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.