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Finding the Fourth Proportional to 11,933.35, 17,902.96 and 8,430.23

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Solution

The fourth proportional to 11,933.35, 17,902.96 and 8,430.23 is: 12,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.35 : 17,902.96 = 8,430.23 : x
  2. Step 2: Convert to fraction form
    11,933.35/17,902.96 = 8,430.23/x
  3. Step 3: Cross multiply
    11,933.35x = 17,902.96 × 8,430.23
  4. Step 4: Simplify right side
    11,933.35x = 150,926,094.16
  5. Step 5: Solve for x
    x = 150,926,094.16/11,933.35
  6. Step 6: Final answer
    x = 12,647.42

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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.