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Finding the Fourth Proportional to 20,184.01, 27,838.16 and 13,112.71

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Solution

The fourth proportional to 20,184.01, 27,838.16 and 13,112.71 is: 18,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.01 : 27,838.16 = 13,112.71 : x
  2. Step 2: Convert to fraction form
    20,184.01/27,838.16 = 13,112.71/x
  3. Step 3: Cross multiply
    20,184.01x = 27,838.16 × 13,112.71
  4. Step 4: Simplify right side
    20,184.01x = 365,033,653.45
  5. Step 5: Solve for x
    x = 365,033,653.45/20,184.01
  6. Step 6: Final answer
    x = 18,085.29

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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.