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Finding the Fourth Proportional to 23,477.38, 32,399.07 and 12,866.79

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Solution

The fourth proportional to 23,477.38, 32,399.07 and 12,866.79 is: 17,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.38 : 32,399.07 = 12,866.79 : x
  2. Step 2: Convert to fraction form
    23,477.38/32,399.07 = 12,866.79/x
  3. Step 3: Cross multiply
    23,477.38x = 32,399.07 × 12,866.79
  4. Step 4: Simplify right side
    23,477.38x = 416,872,029.89
  5. Step 5: Solve for x
    x = 416,872,029.89/23,477.38
  6. Step 6: Final answer
    x = 17,756.33

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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.