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Finding the Fourth Proportional to 11,840.09, 17,758.77 and 9,878.21

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Solution

The fourth proportional to 11,840.09, 17,758.77 and 9,878.21 is: 14,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.09 : 17,758.77 = 9,878.21 : x
  2. Step 2: Convert to fraction form
    11,840.09/17,758.77 = 9,878.21/x
  3. Step 3: Cross multiply
    11,840.09x = 17,758.77 × 9,878.21
  4. Step 4: Simplify right side
    11,840.09x = 175,424,859.40
  5. Step 5: Solve for x
    x = 175,424,859.40/11,840.09
  6. Step 6: Final answer
    x = 14,816.18

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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.