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Finding the Fourth Proportional to 15,632.48, 23,441.16 and 5,776.40

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Solution

The fourth proportional to 15,632.48, 23,441.16 and 5,776.40 is: 8,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.48 : 23,441.16 = 5,776.40 : x
  2. Step 2: Convert to fraction form
    15,632.48/23,441.16 = 5,776.40/x
  3. Step 3: Cross multiply
    15,632.48x = 23,441.16 × 5,776.40
  4. Step 4: Simplify right side
    15,632.48x = 135,405,516.62
  5. Step 5: Solve for x
    x = 135,405,516.62/15,632.48
  6. Step 6: Final answer
    x = 8,661.81

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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.