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Finding the Fourth Proportional to 20,071.44, 27,730.08 and 13,817.16

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Solution

The fourth proportional to 20,071.44, 27,730.08 and 13,817.16 is: 19,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.44 : 27,730.08 = 13,817.16 : x
  2. Step 2: Convert to fraction form
    20,071.44/27,730.08 = 13,817.16/x
  3. Step 3: Cross multiply
    20,071.44x = 27,730.08 × 13,817.16
  4. Step 4: Simplify right side
    20,071.44x = 383,150,952.17
  5. Step 5: Solve for x
    x = 383,150,952.17/20,071.44
  6. Step 6: Final answer
    x = 19,089.36

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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.