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Finding the Fourth Proportional to 20,506.91, 30,762.93 and 8,025.32

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Solution

The fourth proportional to 20,506.91, 30,762.93 and 8,025.32 is: 12,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.91 : 30,762.93 = 8,025.32 : x
  2. Step 2: Convert to fraction form
    20,506.91/30,762.93 = 8,025.32/x
  3. Step 3: Cross multiply
    20,506.91x = 30,762.93 × 8,025.32
  4. Step 4: Simplify right side
    20,506.91x = 246,882,495.32
  5. Step 5: Solve for x
    x = 246,882,495.32/20,506.91
  6. Step 6: Final answer
    x = 12,038.99

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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.