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Finding the Fourth Proportional to 11,969.07, 17,928.90 and 7,023.84

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Solution

The fourth proportional to 11,969.07, 17,928.90 and 7,023.84 is: 10,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.07 : 17,928.90 = 7,023.84 : x
  2. Step 2: Convert to fraction form
    11,969.07/17,928.90 = 7,023.84/x
  3. Step 3: Cross multiply
    11,969.07x = 17,928.90 × 7,023.84
  4. Step 4: Simplify right side
    11,969.07x = 125,929,724.98
  5. Step 5: Solve for x
    x = 125,929,724.98/11,969.07
  6. Step 6: Final answer
    x = 10,521.26

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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.