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Finding the Fourth Proportional to 16,648.56, 22,974.30 and 9,094.77

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Solution

The fourth proportional to 16,648.56, 22,974.30 and 9,094.77 is: 12,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.56 : 22,974.30 = 9,094.77 : x
  2. Step 2: Convert to fraction form
    16,648.56/22,974.30 = 9,094.77/x
  3. Step 3: Cross multiply
    16,648.56x = 22,974.30 × 9,094.77
  4. Step 4: Simplify right side
    16,648.56x = 208,945,974.41
  5. Step 5: Solve for x
    x = 208,945,974.41/16,648.56
  6. Step 6: Final answer
    x = 12,550.39

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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.