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Finding the Fourth Proportional to 22,326.84, 30,809.16 and 12,255.23

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Solution

The fourth proportional to 22,326.84, 30,809.16 and 12,255.23 is: 16,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.84 : 30,809.16 = 12,255.23 : x
  2. Step 2: Convert to fraction form
    22,326.84/30,809.16 = 12,255.23/x
  3. Step 3: Cross multiply
    22,326.84x = 30,809.16 × 12,255.23
  4. Step 4: Simplify right side
    22,326.84x = 377,573,418.93
  5. Step 5: Solve for x
    x = 377,573,418.93/22,326.84
  6. Step 6: Final answer
    x = 16,911.19

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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.