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Finding the Fourth Proportional to 15,757.69, 23,639.35 and 5,228.34

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Solution

The fourth proportional to 15,757.69, 23,639.35 and 5,228.34 is: 7,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.69 : 23,639.35 = 5,228.34 : x
  2. Step 2: Convert to fraction form
    15,757.69/23,639.35 = 5,228.34/x
  3. Step 3: Cross multiply
    15,757.69x = 23,639.35 × 5,228.34
  4. Step 4: Simplify right side
    15,757.69x = 123,594,677.14
  5. Step 5: Solve for x
    x = 123,594,677.14/15,757.69
  6. Step 6: Final answer
    x = 7,843.45

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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.