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Finding the Fourth Proportional to 14,744.90, 20,326.47 and 11,201.96

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Solution

The fourth proportional to 14,744.90, 20,326.47 and 11,201.96 is: 15,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.90 : 20,326.47 = 11,201.96 : x
  2. Step 2: Convert to fraction form
    14,744.90/20,326.47 = 11,201.96/x
  3. Step 3: Cross multiply
    14,744.90x = 20,326.47 × 11,201.96
  4. Step 4: Simplify right side
    14,744.90x = 227,696,303.88
  5. Step 5: Solve for x
    x = 227,696,303.88/14,744.90
  6. Step 6: Final answer
    x = 15,442.38

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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.