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Finding the Fourth Proportional to 24,470.56, 36,683.56 and 8,884.54

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Solution

The fourth proportional to 24,470.56, 36,683.56 and 8,884.54 is: 13,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.56 : 36,683.56 = 8,884.54 : x
  2. Step 2: Convert to fraction form
    24,470.56/36,683.56 = 8,884.54/x
  3. Step 3: Cross multiply
    24,470.56x = 36,683.56 × 8,884.54
  4. Step 4: Simplify right side
    24,470.56x = 325,916,556.16
  5. Step 5: Solve for x
    x = 325,916,556.16/24,470.56
  6. Step 6: Final answer
    x = 13,318.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.