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Finding the Fourth Proportional to 20,219.77, 30,301.98 and 12,829.42

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Solution

The fourth proportional to 20,219.77, 30,301.98 and 12,829.42 is: 19,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.77 : 30,301.98 = 12,829.42 : x
  2. Step 2: Convert to fraction form
    20,219.77/30,301.98 = 12,829.42/x
  3. Step 3: Cross multiply
    20,219.77x = 30,301.98 × 12,829.42
  4. Step 4: Simplify right side
    20,219.77x = 388,756,818.02
  5. Step 5: Solve for x
    x = 388,756,818.02/20,219.77
  6. Step 6: Final answer
    x = 19,226.57

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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.