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Finding the Fourth Proportional to 13,470.48, 20,224.44 and 8,822.16

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Solution

The fourth proportional to 13,470.48, 20,224.44 and 8,822.16 is: 13,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.48 : 20,224.44 = 8,822.16 : x
  2. Step 2: Convert to fraction form
    13,470.48/20,224.44 = 8,822.16/x
  3. Step 3: Cross multiply
    13,470.48x = 20,224.44 × 8,822.16
  4. Step 4: Simplify right side
    13,470.48x = 178,423,245.59
  5. Step 5: Solve for x
    x = 178,423,245.59/13,470.48
  6. Step 6: Final answer
    x = 13,245.50

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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.