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Finding the Fourth Proportional to 14,568.75, 20,093.94 and 10,099.98

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Solution

The fourth proportional to 14,568.75, 20,093.94 and 10,099.98 is: 13,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.75 : 20,093.94 = 10,099.98 : x
  2. Step 2: Convert to fraction form
    14,568.75/20,093.94 = 10,099.98/x
  3. Step 3: Cross multiply
    14,568.75x = 20,093.94 × 10,099.98
  4. Step 4: Simplify right side
    14,568.75x = 202,948,392.12
  5. Step 5: Solve for x
    x = 202,948,392.12/14,568.75
  6. Step 6: Final answer
    x = 13,930.39

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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.