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Finding the Fourth Proportional to 23,812.06, 35,709.89 and 9,768.13

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Solution

The fourth proportional to 23,812.06, 35,709.89 and 9,768.13 is: 14,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.06 : 35,709.89 = 9,768.13 : x
  2. Step 2: Convert to fraction form
    23,812.06/35,709.89 = 9,768.13/x
  3. Step 3: Cross multiply
    23,812.06x = 35,709.89 × 9,768.13
  4. Step 4: Simplify right side
    23,812.06x = 348,818,847.81
  5. Step 5: Solve for x
    x = 348,818,847.81/23,812.06
  6. Step 6: Final answer
    x = 14,648.83

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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.