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Finding the Fourth Proportional to 13,742.84, 18,968.74 and 9,494.66

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Solution

The fourth proportional to 13,742.84, 18,968.74 and 9,494.66 is: 13,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.84 : 18,968.74 = 9,494.66 : x
  2. Step 2: Convert to fraction form
    13,742.84/18,968.74 = 9,494.66/x
  3. Step 3: Cross multiply
    13,742.84x = 18,968.74 × 9,494.66
  4. Step 4: Simplify right side
    13,742.84x = 180,101,736.93
  5. Step 5: Solve for x
    x = 180,101,736.93/13,742.84
  6. Step 6: Final answer
    x = 13,105.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.