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Finding the Fourth Proportional to 23,536.25, 35,318.97 and 13,680.17

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Solution

The fourth proportional to 23,536.25, 35,318.97 and 13,680.17 is: 20,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.25 : 35,318.97 = 13,680.17 : x
  2. Step 2: Convert to fraction form
    23,536.25/35,318.97 = 13,680.17/x
  3. Step 3: Cross multiply
    23,536.25x = 35,318.97 × 13,680.17
  4. Step 4: Simplify right side
    23,536.25x = 483,169,513.82
  5. Step 5: Solve for x
    x = 483,169,513.82/23,536.25
  6. Step 6: Final answer
    x = 20,528.74

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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.