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Finding the Fourth Proportional to 27,769.76, 38,322.07 and 15,194.51

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Solution

The fourth proportional to 27,769.76, 38,322.07 and 15,194.51 is: 20,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.76 : 38,322.07 = 15,194.51 : x
  2. Step 2: Convert to fraction form
    27,769.76/38,322.07 = 15,194.51/x
  3. Step 3: Cross multiply
    27,769.76x = 38,322.07 × 15,194.51
  4. Step 4: Simplify right side
    27,769.76x = 582,285,075.84
  5. Step 5: Solve for x
    x = 582,285,075.84/27,769.76
  6. Step 6: Final answer
    x = 20,968.32

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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.