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Finding the Fourth Proportional to 16,138, 24,207 and 5,194

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Solution

The fourth proportional to 16,138, 24,207 and 5,194 is: 7,791

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138 : 24,207 = 5,194 : x
  2. Step 2: Convert to fraction form
    16,138/24,207 = 5,194/x
  3. Step 3: Cross multiply
    16,138x = 24,207 × 5,194
  4. Step 4: Simplify right side
    16,138x = 125,731,158
  5. Step 5: Solve for x
    x = 125,731,158/16,138
  6. Step 6: Final answer
    x = 7,791

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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.