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Finding the Fourth Proportional to 23,084.99, 31,854.21 and 13,013.85

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Solution

The fourth proportional to 23,084.99, 31,854.21 and 13,013.85 is: 17,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.99 : 31,854.21 = 13,013.85 : x
  2. Step 2: Convert to fraction form
    23,084.99/31,854.21 = 13,013.85/x
  3. Step 3: Cross multiply
    23,084.99x = 31,854.21 × 13,013.85
  4. Step 4: Simplify right side
    23,084.99x = 414,545,910.81
  5. Step 5: Solve for x
    x = 414,545,910.81/23,084.99
  6. Step 6: Final answer
    x = 17,957.38

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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.