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Finding the Fourth Proportional to 20,069.92, 27,696.42 and 11,572

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Solution

The fourth proportional to 20,069.92, 27,696.42 and 11,572 is: 15,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.92 : 27,696.42 = 11,572 : x
  2. Step 2: Convert to fraction form
    20,069.92/27,696.42 = 11,572/x
  3. Step 3: Cross multiply
    20,069.92x = 27,696.42 × 11,572
  4. Step 4: Simplify right side
    20,069.92x = 320,502,972.24
  5. Step 5: Solve for x
    x = 320,502,972.24/20,069.92
  6. Step 6: Final answer
    x = 15,969.32

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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.