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Finding the Fourth Proportional to 22,381.67, 30,885.91 and 12,309.47

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Solution

The fourth proportional to 22,381.67, 30,885.91 and 12,309.47 is: 16,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.67 : 30,885.91 = 12,309.47 : x
  2. Step 2: Convert to fraction form
    22,381.67/30,885.91 = 12,309.47/x
  3. Step 3: Cross multiply
    22,381.67x = 30,885.91 × 12,309.47
  4. Step 4: Simplify right side
    22,381.67x = 380,189,113.19
  5. Step 5: Solve for x
    x = 380,189,113.19/22,381.67
  6. Step 6: Final answer
    x = 16,986.63

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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.