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Finding the Fourth Proportional to 20,206.79, 30,316.48 and 10,352.98

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Solution

The fourth proportional to 20,206.79, 30,316.48 and 10,352.98 is: 15,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.79 : 30,316.48 = 10,352.98 : x
  2. Step 2: Convert to fraction form
    20,206.79/30,316.48 = 10,352.98/x
  3. Step 3: Cross multiply
    20,206.79x = 30,316.48 × 10,352.98
  4. Step 4: Simplify right side
    20,206.79x = 313,865,809.44
  5. Step 5: Solve for x
    x = 313,865,809.44/20,206.79
  6. Step 6: Final answer
    x = 15,532.69

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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.