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Finding the Fourth Proportional to 19,820.44, 27,355 and 12,269.20

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Solution

The fourth proportional to 19,820.44, 27,355 and 12,269.20 is: 16,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.44 : 27,355 = 12,269.20 : x
  2. Step 2: Convert to fraction form
    19,820.44/27,355 = 12,269.20/x
  3. Step 3: Cross multiply
    19,820.44x = 27,355 × 12,269.20
  4. Step 4: Simplify right side
    19,820.44x = 335,623,966
  5. Step 5: Solve for x
    x = 335,623,966/19,820.44
  6. Step 6: Final answer
    x = 16,933.22

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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.