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Finding the Fourth Proportional to 18,534.74, 27,778.82 and 13,242.20

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Solution

The fourth proportional to 18,534.74, 27,778.82 and 13,242.20 is: 19,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.74 : 27,778.82 = 13,242.20 : x
  2. Step 2: Convert to fraction form
    18,534.74/27,778.82 = 13,242.20/x
  3. Step 3: Cross multiply
    18,534.74x = 27,778.82 × 13,242.20
  4. Step 4: Simplify right side
    18,534.74x = 367,852,485.10
  5. Step 5: Solve for x
    x = 367,852,485.10/18,534.74
  6. Step 6: Final answer
    x = 19,846.65

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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.