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Finding the Fourth Proportional to 20,219.64, 30,329.73 and 8,541.06

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Solution

The fourth proportional to 20,219.64, 30,329.73 and 8,541.06 is: 12,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.64 : 30,329.73 = 8,541.06 : x
  2. Step 2: Convert to fraction form
    20,219.64/30,329.73 = 8,541.06/x
  3. Step 3: Cross multiply
    20,219.64x = 30,329.73 × 8,541.06
  4. Step 4: Simplify right side
    20,219.64x = 259,048,043.71
  5. Step 5: Solve for x
    x = 259,048,043.71/20,219.64
  6. Step 6: Final answer
    x = 12,811.70

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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.