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Finding the Fourth Proportional to 23,806.16, 35,725.37 and 9,768.72

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Solution

The fourth proportional to 23,806.16, 35,725.37 and 9,768.72 is: 14,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.16 : 35,725.37 = 9,768.72 : x
  2. Step 2: Convert to fraction form
    23,806.16/35,725.37 = 9,768.72/x
  3. Step 3: Cross multiply
    23,806.16x = 35,725.37 × 9,768.72
  4. Step 4: Simplify right side
    23,806.16x = 348,991,087.58
  5. Step 5: Solve for x
    x = 348,991,087.58/23,806.16
  6. Step 6: Final answer
    x = 14,659.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.