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Finding the Fourth Proportional to 15,868.34, 23,786 and 5,330.54

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Solution

The fourth proportional to 15,868.34, 23,786 and 5,330.54 is: 7,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,868.34 : 23,786 = 5,330.54 : x
  2. Step 2: Convert to fraction form
    15,868.34/23,786 = 5,330.54/x
  3. Step 3: Cross multiply
    15,868.34x = 23,786 × 5,330.54
  4. Step 4: Simplify right side
    15,868.34x = 126,792,224.44
  5. Step 5: Solve for x
    x = 126,792,224.44/15,868.34
  6. Step 6: Final answer
    x = 7,990.26

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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.