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Finding the Fourth Proportional to 13,122.54, 19,677.88 and 3,760.42

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Solution

The fourth proportional to 13,122.54, 19,677.88 and 3,760.42 is: 5,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.54 : 19,677.88 = 3,760.42 : x
  2. Step 2: Convert to fraction form
    13,122.54/19,677.88 = 3,760.42/x
  3. Step 3: Cross multiply
    13,122.54x = 19,677.88 × 3,760.42
  4. Step 4: Simplify right side
    13,122.54x = 73,996,995.12
  5. Step 5: Solve for x
    x = 73,996,995.12/13,122.54
  6. Step 6: Final answer
    x = 5,638.92

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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.