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Finding the Fourth Proportional to 15,628.84, 23,452.40 and 5,775

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Solution

The fourth proportional to 15,628.84, 23,452.40 and 5,775 is: 8,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628.84 : 23,452.40 = 5,775 : x
  2. Step 2: Convert to fraction form
    15,628.84/23,452.40 = 5,775/x
  3. Step 3: Cross multiply
    15,628.84x = 23,452.40 × 5,775
  4. Step 4: Simplify right side
    15,628.84x = 135,437,610
  5. Step 5: Solve for x
    x = 135,437,610/15,628.84
  6. Step 6: Final answer
    x = 8,665.88

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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.