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Finding the Fourth Proportional to 22,327.84, 30,810.54 and 12,256.23

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Solution

The fourth proportional to 22,327.84, 30,810.54 and 12,256.23 is: 16,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327.84 : 30,810.54 = 12,256.23 : x
  2. Step 2: Convert to fraction form
    22,327.84/30,810.54 = 12,256.23/x
  3. Step 3: Cross multiply
    22,327.84x = 30,810.54 × 12,256.23
  4. Step 4: Simplify right side
    22,327.84x = 377,621,064.66
  5. Step 5: Solve for x
    x = 377,621,064.66/22,327.84
  6. Step 6: Final answer
    x = 16,912.57

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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.