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Finding the Fourth Proportional to 15,762.84, 23,651.57 and 6,409.27

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Solution

The fourth proportional to 15,762.84, 23,651.57 and 6,409.27 is: 9,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.84 : 23,651.57 = 6,409.27 : x
  2. Step 2: Convert to fraction form
    15,762.84/23,651.57 = 6,409.27/x
  3. Step 3: Cross multiply
    15,762.84x = 23,651.57 × 6,409.27
  4. Step 4: Simplify right side
    15,762.84x = 151,589,298.05
  5. Step 5: Solve for x
    x = 151,589,298.05/15,762.84
  6. Step 6: Final answer
    x = 9,616.88

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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.