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Finding the Fourth Proportional to 20,137.80, 30,206.70 and 19,165.80

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Solution

The fourth proportional to 20,137.80, 30,206.70 and 19,165.80 is: 28,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.80 : 30,206.70 = 19,165.80 : x
  2. Step 2: Convert to fraction form
    20,137.80/30,206.70 = 19,165.80/x
  3. Step 3: Cross multiply
    20,137.80x = 30,206.70 × 19,165.80
  4. Step 4: Simplify right side
    20,137.80x = 578,935,570.86
  5. Step 5: Solve for x
    x = 578,935,570.86/20,137.80
  6. Step 6: Final answer
    x = 28,748.70

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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.