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Finding the Fourth Proportional to 15,746, 23,619 and 6,512.24

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Solution

The fourth proportional to 15,746, 23,619 and 6,512.24 is: 9,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746 : 23,619 = 6,512.24 : x
  2. Step 2: Convert to fraction form
    15,746/23,619 = 6,512.24/x
  3. Step 3: Cross multiply
    15,746x = 23,619 × 6,512.24
  4. Step 4: Simplify right side
    15,746x = 153,812,596.56
  5. Step 5: Solve for x
    x = 153,812,596.56/15,746
  6. Step 6: Final answer
    x = 9,768.36

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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.