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Finding the Fourth Proportional to 23,809.05, 35,716.23 and 9,768.51

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Solution

The fourth proportional to 23,809.05, 35,716.23 and 9,768.51 is: 14,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.05 : 35,716.23 = 9,768.51 : x
  2. Step 2: Convert to fraction form
    23,809.05/35,716.23 = 9,768.51/x
  3. Step 3: Cross multiply
    23,809.05x = 35,716.23 × 9,768.51
  4. Step 4: Simplify right side
    23,809.05x = 348,894,349.92
  5. Step 5: Solve for x
    x = 348,894,349.92/23,809.05
  6. Step 6: Final answer
    x = 14,653.85

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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.