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Finding the Fourth Proportional to 12,051, 18,074.46 and 3,283.86

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Solution

The fourth proportional to 12,051, 18,074.46 and 3,283.86 is: 4,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051 : 18,074.46 = 3,283.86 : x
  2. Step 2: Convert to fraction form
    12,051/18,074.46 = 3,283.86/x
  3. Step 3: Cross multiply
    12,051x = 18,074.46 × 3,283.86
  4. Step 4: Simplify right side
    12,051x = 59,353,996.22
  5. Step 5: Solve for x
    x = 59,353,996.22/12,051
  6. Step 6: Final answer
    x = 4,925.23

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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.