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Finding the Fourth Proportional to 14,553.20, 21,829.92 and 9,022.64

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Solution

The fourth proportional to 14,553.20, 21,829.92 and 9,022.64 is: 13,534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.20 : 21,829.92 = 9,022.64 : x
  2. Step 2: Convert to fraction form
    14,553.20/21,829.92 = 9,022.64/x
  3. Step 3: Cross multiply
    14,553.20x = 21,829.92 × 9,022.64
  4. Step 4: Simplify right side
    14,553.20x = 196,963,509.39
  5. Step 5: Solve for x
    x = 196,963,509.39/14,553.20
  6. Step 6: Final answer
    x = 13,534.03

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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.