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Finding the Fourth Proportional to 27,002.65, 40,525.65 and 12,212.86

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Solution

The fourth proportional to 27,002.65, 40,525.65 and 12,212.86 is: 18,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.65 : 40,525.65 = 12,212.86 : x
  2. Step 2: Convert to fraction form
    27,002.65/40,525.65 = 12,212.86/x
  3. Step 3: Cross multiply
    27,002.65x = 40,525.65 × 12,212.86
  4. Step 4: Simplify right side
    27,002.65x = 494,934,089.86
  5. Step 5: Solve for x
    x = 494,934,089.86/27,002.65
  6. Step 6: Final answer
    x = 18,329.09

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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.