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Finding the Fourth Proportional to 23,084.95, 31,857.60 and 13,013.89

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Solution

The fourth proportional to 23,084.95, 31,857.60 and 13,013.89 is: 17,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.95 : 31,857.60 = 13,013.89 : x
  2. Step 2: Convert to fraction form
    23,084.95/31,857.60 = 13,013.89/x
  3. Step 3: Cross multiply
    23,084.95x = 31,857.60 × 13,013.89
  4. Step 4: Simplify right side
    23,084.95x = 414,591,360.82
  5. Step 5: Solve for x
    x = 414,591,360.82/23,084.95
  6. Step 6: Final answer
    x = 17,959.38

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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.