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Finding the Fourth Proportional to 20,146.59, 30,206.93 and 13,212.99

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Solution

The fourth proportional to 20,146.59, 30,206.93 and 13,212.99 is: 19,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.59 : 30,206.93 = 13,212.99 : x
  2. Step 2: Convert to fraction form
    20,146.59/30,206.93 = 13,212.99/x
  3. Step 3: Cross multiply
    20,146.59x = 30,206.93 × 13,212.99
  4. Step 4: Simplify right side
    20,146.59x = 399,123,797.96
  5. Step 5: Solve for x
    x = 399,123,797.96/20,146.59
  6. Step 6: Final answer
    x = 19,810.99

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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.