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Finding the Fourth Proportional to 17,957.86, 24,785.25 and 11,897.38

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Solution

The fourth proportional to 17,957.86, 24,785.25 and 11,897.38 is: 16,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.86 : 24,785.25 = 11,897.38 : x
  2. Step 2: Convert to fraction form
    17,957.86/24,785.25 = 11,897.38/x
  3. Step 3: Cross multiply
    17,957.86x = 24,785.25 × 11,897.38
  4. Step 4: Simplify right side
    17,957.86x = 294,879,537.65
  5. Step 5: Solve for x
    x = 294,879,537.65/17,957.86
  6. Step 6: Final answer
    x = 16,420.64

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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.