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Finding the Fourth Proportional to 22,381.44, 30,885.75 and 12,309.87

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Solution

The fourth proportional to 22,381.44, 30,885.75 and 12,309.87 is: 16,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.44 : 30,885.75 = 12,309.87 : x
  2. Step 2: Convert to fraction form
    22,381.44/30,885.75 = 12,309.87/x
  3. Step 3: Cross multiply
    22,381.44x = 30,885.75 × 12,309.87
  4. Step 4: Simplify right side
    22,381.44x = 380,199,567.35
  5. Step 5: Solve for x
    x = 380,199,567.35/22,381.44
  6. Step 6: Final answer
    x = 16,987.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.