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Finding the Fourth Proportional to 22,344.88, 30,824.53 and 14,270.05

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Solution

The fourth proportional to 22,344.88, 30,824.53 and 14,270.05 is: 19,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.88 : 30,824.53 = 14,270.05 : x
  2. Step 2: Convert to fraction form
    22,344.88/30,824.53 = 14,270.05/x
  3. Step 3: Cross multiply
    22,344.88x = 30,824.53 × 14,270.05
  4. Step 4: Simplify right side
    22,344.88x = 439,867,471.59
  5. Step 5: Solve for x
    x = 439,867,471.59/22,344.88
  6. Step 6: Final answer
    x = 19,685.38

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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.