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Finding the Fourth Proportional to 23,023.98, 31,775.81 and 12,952.80

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Solution

The fourth proportional to 23,023.98, 31,775.81 and 12,952.80 is: 17,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023.98 : 31,775.81 = 12,952.80 : x
  2. Step 2: Convert to fraction form
    23,023.98/31,775.81 = 12,952.80/x
  3. Step 3: Cross multiply
    23,023.98x = 31,775.81 × 12,952.80
  4. Step 4: Simplify right side
    23,023.98x = 411,585,647.00
  5. Step 5: Solve for x
    x = 411,585,647.00/23,023.98
  6. Step 6: Final answer
    x = 17,876.39

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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.