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Finding the Fourth Proportional to 15,986.84, 23,982.73 and 5,454.40

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Solution

The fourth proportional to 15,986.84, 23,982.73 and 5,454.40 is: 8,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.84 : 23,982.73 = 5,454.40 : x
  2. Step 2: Convert to fraction form
    15,986.84/23,982.73 = 5,454.40/x
  3. Step 3: Cross multiply
    15,986.84x = 23,982.73 × 5,454.40
  4. Step 4: Simplify right side
    15,986.84x = 130,811,402.51
  5. Step 5: Solve for x
    x = 130,811,402.51/15,986.84
  6. Step 6: Final answer
    x = 8,182.44

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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.