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Finding the Fourth Proportional to 13,742.97, 20,602.17 and 6,719.01

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Solution

The fourth proportional to 13,742.97, 20,602.17 and 6,719.01 is: 10,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.97 : 20,602.17 = 6,719.01 : x
  2. Step 2: Convert to fraction form
    13,742.97/20,602.17 = 6,719.01/x
  3. Step 3: Cross multiply
    13,742.97x = 20,602.17 × 6,719.01
  4. Step 4: Simplify right side
    13,742.97x = 138,426,186.25
  5. Step 5: Solve for x
    x = 138,426,186.25/13,742.97
  6. Step 6: Final answer
    x = 10,072.51

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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.