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Finding the Fourth Proportional to 22,925.50, 34,393.40 and 8,134.39

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Solution

The fourth proportional to 22,925.50, 34,393.40 and 8,134.39 is: 12,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925.50 : 34,393.40 = 8,134.39 : x
  2. Step 2: Convert to fraction form
    22,925.50/34,393.40 = 8,134.39/x
  3. Step 3: Cross multiply
    22,925.50x = 34,393.40 × 8,134.39
  4. Step 4: Simplify right side
    22,925.50x = 279,769,177.39
  5. Step 5: Solve for x
    x = 279,769,177.39/22,925.50
  6. Step 6: Final answer
    x = 12,203.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.