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Finding the Fourth Proportional to 15,751.92, 23,633.62 and 7,322.32

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Solution

The fourth proportional to 15,751.92, 23,633.62 and 7,322.32 is: 10,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.92 : 23,633.62 = 7,322.32 : x
  2. Step 2: Convert to fraction form
    15,751.92/23,633.62 = 7,322.32/x
  3. Step 3: Cross multiply
    15,751.92x = 23,633.62 × 7,322.32
  4. Step 4: Simplify right side
    15,751.92x = 173,052,928.40
  5. Step 5: Solve for x
    x = 173,052,928.40/15,751.92
  6. Step 6: Final answer
    x = 10,986.15

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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.