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Finding the Fourth Proportional to 22,381.79, 30,887.12 and 12,310.39

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Solution

The fourth proportional to 22,381.79, 30,887.12 and 12,310.39 is: 16,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.79 : 30,887.12 = 12,310.39 : x
  2. Step 2: Convert to fraction form
    22,381.79/30,887.12 = 12,310.39/x
  3. Step 3: Cross multiply
    22,381.79x = 30,887.12 × 12,310.39
  4. Step 4: Simplify right side
    22,381.79x = 380,232,354.41
  5. Step 5: Solve for x
    x = 380,232,354.41/22,381.79
  6. Step 6: Final answer
    x = 16,988.47

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Why These Related Problems?

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