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Finding the Fourth Proportional to 20,071.65, 27,702.30 and 11,572.27

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Solution

The fourth proportional to 20,071.65, 27,702.30 and 11,572.27 is: 15,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.65 : 27,702.30 = 11,572.27 : x
  2. Step 2: Convert to fraction form
    20,071.65/27,702.30 = 11,572.27/x
  3. Step 3: Cross multiply
    20,071.65x = 27,702.30 × 11,572.27
  4. Step 4: Simplify right side
    20,071.65x = 320,578,495.22
  5. Step 5: Solve for x
    x = 320,578,495.22/20,071.65
  6. Step 6: Final answer
    x = 15,971.71

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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.