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Finding the Fourth Proportional to 12,019.26, 18,024.02 and 4,994.50

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Solution

The fourth proportional to 12,019.26, 18,024.02 and 4,994.50 is: 7,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.26 : 18,024.02 = 4,994.50 : x
  2. Step 2: Convert to fraction form
    12,019.26/18,024.02 = 4,994.50/x
  3. Step 3: Cross multiply
    12,019.26x = 18,024.02 × 4,994.50
  4. Step 4: Simplify right side
    12,019.26x = 90,020,967.89
  5. Step 5: Solve for x
    x = 90,020,967.89/12,019.26
  6. Step 6: Final answer
    x = 7,489.73

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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.