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Finding the Fourth Proportional to 20,736.84, 31,087.98 and 9,637.68

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Solution

The fourth proportional to 20,736.84, 31,087.98 and 9,637.68 is: 14,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,736.84 : 31,087.98 = 9,637.68 : x
  2. Step 2: Convert to fraction form
    20,736.84/31,087.98 = 9,637.68/x
  3. Step 3: Cross multiply
    20,736.84x = 31,087.98 × 9,637.68
  4. Step 4: Simplify right side
    20,736.84x = 299,616,003.09
  5. Step 5: Solve for x
    x = 299,616,003.09/20,736.84
  6. Step 6: Final answer
    x = 14,448.49

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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.