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Finding the Fourth Proportional to 15,778.51, 23,674.75 and 8,381.18

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Solution

The fourth proportional to 15,778.51, 23,674.75 and 8,381.18 is: 12,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.51 : 23,674.75 = 8,381.18 : x
  2. Step 2: Convert to fraction form
    15,778.51/23,674.75 = 8,381.18/x
  3. Step 3: Cross multiply
    15,778.51x = 23,674.75 × 8,381.18
  4. Step 4: Simplify right side
    15,778.51x = 198,422,379.44
  5. Step 5: Solve for x
    x = 198,422,379.44/15,778.51
  6. Step 6: Final answer
    x = 12,575.48

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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.