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Finding the Fourth Proportional to 20,157.18, 30,235.77 and 7,674.30

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Solution

The fourth proportional to 20,157.18, 30,235.77 and 7,674.30 is: 11,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.18 : 30,235.77 = 7,674.30 : x
  2. Step 2: Convert to fraction form
    20,157.18/30,235.77 = 7,674.30/x
  3. Step 3: Cross multiply
    20,157.18x = 30,235.77 × 7,674.30
  4. Step 4: Simplify right side
    20,157.18x = 232,038,369.71
  5. Step 5: Solve for x
    x = 232,038,369.71/20,157.18
  6. Step 6: Final answer
    x = 11,511.45

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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.