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Finding the Fourth Proportional to 12,174.15, 18,271.59 and 4,783.78

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Solution

The fourth proportional to 12,174.15, 18,271.59 and 4,783.78 is: 7,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.15 : 18,271.59 = 4,783.78 : x
  2. Step 2: Convert to fraction form
    12,174.15/18,271.59 = 4,783.78/x
  3. Step 3: Cross multiply
    12,174.15x = 18,271.59 × 4,783.78
  4. Step 4: Simplify right side
    12,174.15x = 87,407,266.81
  5. Step 5: Solve for x
    x = 87,407,266.81/12,174.15
  6. Step 6: Final answer
    x = 7,179.74

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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.