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Finding the Fourth Proportional to 20,144.19, 30,205.47 and 17,809.77

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Solution

The fourth proportional to 20,144.19, 30,205.47 and 17,809.77 is: 26,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.19 : 30,205.47 = 17,809.77 : x
  2. Step 2: Convert to fraction form
    20,144.19/30,205.47 = 17,809.77/x
  3. Step 3: Cross multiply
    20,144.19x = 30,205.47 × 17,809.77
  4. Step 4: Simplify right side
    20,144.19x = 537,952,473.44
  5. Step 5: Solve for x
    x = 537,952,473.44/20,144.19
  6. Step 6: Final answer
    x = 26,705.09

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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.