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Finding the Fourth Proportional to 23,085, 31,860.41 and 13,015.49

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Solution

The fourth proportional to 23,085, 31,860.41 and 13,015.49 is: 17,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085 : 31,860.41 = 13,015.49 : x
  2. Step 2: Convert to fraction form
    23,085/31,860.41 = 13,015.49/x
  3. Step 3: Cross multiply
    23,085x = 31,860.41 × 13,015.49
  4. Step 4: Simplify right side
    23,085x = 414,678,623.37
  5. Step 5: Solve for x
    x = 414,678,623.37/23,085
  6. Step 6: Final answer
    x = 17,963.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.