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Finding the Fourth Proportional to 11,913.64, 17,870.30 and 4,122.34

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Solution

The fourth proportional to 11,913.64, 17,870.30 and 4,122.34 is: 6,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.64 : 17,870.30 = 4,122.34 : x
  2. Step 2: Convert to fraction form
    11,913.64/17,870.30 = 4,122.34/x
  3. Step 3: Cross multiply
    11,913.64x = 17,870.30 × 4,122.34
  4. Step 4: Simplify right side
    11,913.64x = 73,667,452.50
  5. Step 5: Solve for x
    x = 73,667,452.50/11,913.64
  6. Step 6: Final answer
    x = 6,183.45

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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.