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Finding the Fourth Proportional to 12,314, 16,993.42 and 6,725

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Solution

The fourth proportional to 12,314, 16,993.42 and 6,725 is: 9,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314 : 16,993.42 = 6,725 : x
  2. Step 2: Convert to fraction form
    12,314/16,993.42 = 6,725/x
  3. Step 3: Cross multiply
    12,314x = 16,993.42 × 6,725
  4. Step 4: Simplify right side
    12,314x = 114,280,749.50
  5. Step 5: Solve for x
    x = 114,280,749.50/12,314
  6. Step 6: Final answer
    x = 9,280.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.