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Finding the Fourth Proportional to 20,462.32, 28,237.73 and 11,509.82

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Solution

The fourth proportional to 20,462.32, 28,237.73 and 11,509.82 is: 15,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.32 : 28,237.73 = 11,509.82 : x
  2. Step 2: Convert to fraction form
    20,462.32/28,237.73 = 11,509.82/x
  3. Step 3: Cross multiply
    20,462.32x = 28,237.73 × 11,509.82
  4. Step 4: Simplify right side
    20,462.32x = 325,011,096.66
  5. Step 5: Solve for x
    x = 325,011,096.66/20,462.32
  6. Step 6: Final answer
    x = 15,883.39

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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.