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Finding the Fourth Proportional to 18,931.08, 28,396.62 and 11,991

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Solution

The fourth proportional to 18,931.08, 28,396.62 and 11,991 is: 17,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,931.08 : 28,396.62 = 11,991 : x
  2. Step 2: Convert to fraction form
    18,931.08/28,396.62 = 11,991/x
  3. Step 3: Cross multiply
    18,931.08x = 28,396.62 × 11,991
  4. Step 4: Simplify right side
    18,931.08x = 340,503,870.42
  5. Step 5: Solve for x
    x = 340,503,870.42/18,931.08
  6. Step 6: Final answer
    x = 17,986.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.