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Finding the Fourth Proportional to 20,033.70, 27,637.82 and 12,071.40

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Solution

The fourth proportional to 20,033.70, 27,637.82 and 12,071.40 is: 16,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.70 : 27,637.82 = 12,071.40 : x
  2. Step 2: Convert to fraction form
    20,033.70/27,637.82 = 12,071.40/x
  3. Step 3: Cross multiply
    20,033.70x = 27,637.82 × 12,071.40
  4. Step 4: Simplify right side
    20,033.70x = 333,627,165.26
  5. Step 5: Solve for x
    x = 333,627,165.26/20,033.70
  6. Step 6: Final answer
    x = 16,653.30

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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.