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Finding the Fourth Proportional to 20,199.66, 30,280.32 and 7,048.50

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Solution

The fourth proportional to 20,199.66, 30,280.32 and 7,048.50 is: 10,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.66 : 30,280.32 = 7,048.50 : x
  2. Step 2: Convert to fraction form
    20,199.66/30,280.32 = 7,048.50/x
  3. Step 3: Cross multiply
    20,199.66x = 30,280.32 × 7,048.50
  4. Step 4: Simplify right side
    20,199.66x = 213,430,928.84
  5. Step 5: Solve for x
    x = 213,430,928.84/20,199.66
  6. Step 6: Final answer
    x = 10,566.06

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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.