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Finding the Fourth Proportional to 14,604.24, 20,142.70 and 9,829.29

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Solution

The fourth proportional to 14,604.24, 20,142.70 and 9,829.29 is: 13,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.24 : 20,142.70 = 9,829.29 : x
  2. Step 2: Convert to fraction form
    14,604.24/20,142.70 = 9,829.29/x
  3. Step 3: Cross multiply
    14,604.24x = 20,142.70 × 9,829.29
  4. Step 4: Simplify right side
    14,604.24x = 197,988,415.11
  5. Step 5: Solve for x
    x = 197,988,415.11/14,604.24
  6. Step 6: Final answer
    x = 13,556.91

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