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Finding the Fourth Proportional to 27,336, 41,000.34 and 10,684.44

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Solution

The fourth proportional to 27,336, 41,000.34 and 10,684.44 is: 16,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,336 : 41,000.34 = 10,684.44 : x
  2. Step 2: Convert to fraction form
    27,336/41,000.34 = 10,684.44/x
  3. Step 3: Cross multiply
    27,336x = 41,000.34 × 10,684.44
  4. Step 4: Simplify right side
    27,336x = 438,065,672.71
  5. Step 5: Solve for x
    x = 438,065,672.71/27,336
  6. Step 6: Final answer
    x = 16,025.23

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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.