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Finding the Fourth Proportional to 12,137.94, 16,641.07 and 11,916.50

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Solution

The fourth proportional to 12,137.94, 16,641.07 and 11,916.50 is: 16,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.94 : 16,641.07 = 11,916.50 : x
  2. Step 2: Convert to fraction form
    12,137.94/16,641.07 = 11,916.50/x
  3. Step 3: Cross multiply
    12,137.94x = 16,641.07 × 11,916.50
  4. Step 4: Simplify right side
    12,137.94x = 198,303,197.66
  5. Step 5: Solve for x
    x = 198,303,197.66/12,137.94
  6. Step 6: Final answer
    x = 16,337.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.