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Finding the Fourth Proportional to 23,855.40, 35,782.92 and 9,994.68

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Solution

The fourth proportional to 23,855.40, 35,782.92 and 9,994.68 is: 14,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.40 : 35,782.92 = 9,994.68 : x
  2. Step 2: Convert to fraction form
    23,855.40/35,782.92 = 9,994.68/x
  3. Step 3: Cross multiply
    23,855.40x = 35,782.92 × 9,994.68
  4. Step 4: Simplify right side
    23,855.40x = 357,638,834.87
  5. Step 5: Solve for x
    x = 357,638,834.87/23,855.40
  6. Step 6: Final answer
    x = 14,991.94

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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.