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Finding the Fourth Proportional to 23,048.55, 31,808.70 and 12,978.09

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Solution

The fourth proportional to 23,048.55, 31,808.70 and 12,978.09 is: 17,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.55 : 31,808.70 = 12,978.09 : x
  2. Step 2: Convert to fraction form
    23,048.55/31,808.70 = 12,978.09/x
  3. Step 3: Cross multiply
    23,048.55x = 31,808.70 × 12,978.09
  4. Step 4: Simplify right side
    23,048.55x = 412,816,171.38
  5. Step 5: Solve for x
    x = 412,816,171.38/23,048.55
  6. Step 6: Final answer
    x = 17,910.72

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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.