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Finding the Fourth Proportional to 16,768.75, 23,140.88 and 9,316.75

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Solution

The fourth proportional to 16,768.75, 23,140.88 and 9,316.75 is: 12,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.75 : 23,140.88 = 9,316.75 : x
  2. Step 2: Convert to fraction form
    16,768.75/23,140.88 = 9,316.75/x
  3. Step 3: Cross multiply
    16,768.75x = 23,140.88 × 9,316.75
  4. Step 4: Simplify right side
    16,768.75x = 215,597,793.74
  5. Step 5: Solve for x
    x = 215,597,793.74/16,768.75
  6. Step 6: Final answer
    x = 12,857.12

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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.