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Finding the Fourth Proportional to 20,087.51, 27,717.84 and 11,135

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Solution

The fourth proportional to 20,087.51, 27,717.84 and 11,135 is: 15,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,087.51 : 27,717.84 = 11,135 : x
  2. Step 2: Convert to fraction form
    20,087.51/27,717.84 = 11,135/x
  3. Step 3: Cross multiply
    20,087.51x = 27,717.84 × 11,135
  4. Step 4: Simplify right side
    20,087.51x = 308,638,148.40
  5. Step 5: Solve for x
    x = 308,638,148.40/20,087.51
  6. Step 6: Final answer
    x = 15,364.68

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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.