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Finding the Fourth Proportional to 23,674, 35,492.28 and 11,821.68

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Solution

The fourth proportional to 23,674, 35,492.28 and 11,821.68 is: 17,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674 : 35,492.28 = 11,821.68 : x
  2. Step 2: Convert to fraction form
    23,674/35,492.28 = 11,821.68/x
  3. Step 3: Cross multiply
    23,674x = 35,492.28 × 11,821.68
  4. Step 4: Simplify right side
    23,674x = 419,578,376.63
  5. Step 5: Solve for x
    x = 419,578,376.63/23,674
  6. Step 6: Final answer
    x = 17,723.17

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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.