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Finding the Fourth Proportional to 23,108.38, 31,894.50 and 14,605.09

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Solution

The fourth proportional to 23,108.38, 31,894.50 and 14,605.09 is: 20,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,108.38 : 31,894.50 = 14,605.09 : x
  2. Step 2: Convert to fraction form
    23,108.38/31,894.50 = 14,605.09/x
  3. Step 3: Cross multiply
    23,108.38x = 31,894.50 × 14,605.09
  4. Step 4: Simplify right side
    23,108.38x = 465,822,043.01
  5. Step 5: Solve for x
    x = 465,822,043.01/23,108.38
  6. Step 6: Final answer
    x = 20,158.14

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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.