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Finding the Fourth Proportional to 20,501.76, 30,762.36 and 12,198.18

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Solution

The fourth proportional to 20,501.76, 30,762.36 and 12,198.18 is: 18,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.76 : 30,762.36 = 12,198.18 : x
  2. Step 2: Convert to fraction form
    20,501.76/30,762.36 = 12,198.18/x
  3. Step 3: Cross multiply
    20,501.76x = 30,762.36 × 12,198.18
  4. Step 4: Simplify right side
    20,501.76x = 375,244,804.50
  5. Step 5: Solve for x
    x = 375,244,804.50/20,501.76
  6. Step 6: Final answer
    x = 18,303.05

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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.