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Finding the Fourth Proportional to 12,272.88, 18,412.31 and 3,953.69

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Solution

The fourth proportional to 12,272.88, 18,412.31 and 3,953.69 is: 5,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.88 : 18,412.31 = 3,953.69 : x
  2. Step 2: Convert to fraction form
    12,272.88/18,412.31 = 3,953.69/x
  3. Step 3: Cross multiply
    12,272.88x = 18,412.31 × 3,953.69
  4. Step 4: Simplify right side
    12,272.88x = 72,796,565.92
  5. Step 5: Solve for x
    x = 72,796,565.92/12,272.88
  6. Step 6: Final answer
    x = 5,931.50

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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.