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Finding the Fourth Proportional to 27,238.96, 40,801.74 and 13,157.11

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Solution

The fourth proportional to 27,238.96, 40,801.74 and 13,157.11 is: 19,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.96 : 40,801.74 = 13,157.11 : x
  2. Step 2: Convert to fraction form
    27,238.96/40,801.74 = 13,157.11/x
  3. Step 3: Cross multiply
    27,238.96x = 40,801.74 × 13,157.11
  4. Step 4: Simplify right side
    27,238.96x = 536,832,981.37
  5. Step 5: Solve for x
    x = 536,832,981.37/27,238.96
  6. Step 6: Final answer
    x = 19,708.28

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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.