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Finding the Fourth Proportional to 11,885.40, 17,825.24 and 3,988.20

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Solution

The fourth proportional to 11,885.40, 17,825.24 and 3,988.20 is: 5,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.40 : 17,825.24 = 3,988.20 : x
  2. Step 2: Convert to fraction form
    11,885.40/17,825.24 = 3,988.20/x
  3. Step 3: Cross multiply
    11,885.40x = 17,825.24 × 3,988.20
  4. Step 4: Simplify right side
    11,885.40x = 71,090,602.23
  5. Step 5: Solve for x
    x = 71,090,602.23/11,885.40
  6. Step 6: Final answer
    x = 5,981.34

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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.