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Finding the Fourth Proportional to 16,362.44, 22,580.70 and 9,289.16

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Solution

The fourth proportional to 16,362.44, 22,580.70 and 9,289.16 is: 12,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.44 : 22,580.70 = 9,289.16 : x
  2. Step 2: Convert to fraction form
    16,362.44/22,580.70 = 9,289.16/x
  3. Step 3: Cross multiply
    16,362.44x = 22,580.70 × 9,289.16
  4. Step 4: Simplify right side
    16,362.44x = 209,755,735.21
  5. Step 5: Solve for x
    x = 209,755,735.21/16,362.44
  6. Step 6: Final answer
    x = 12,819.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.