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Finding the Fourth Proportional to 20,026.16, 30,043.79 and 10,661.24

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Solution

The fourth proportional to 20,026.16, 30,043.79 and 10,661.24 is: 15,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.16 : 30,043.79 = 10,661.24 : x
  2. Step 2: Convert to fraction form
    20,026.16/30,043.79 = 10,661.24/x
  3. Step 3: Cross multiply
    20,026.16x = 30,043.79 × 10,661.24
  4. Step 4: Simplify right side
    20,026.16x = 320,304,106.58
  5. Step 5: Solve for x
    x = 320,304,106.58/20,026.16
  6. Step 6: Final answer
    x = 15,994.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.