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Finding the Fourth Proportional to 23,085.48, 31,857.48 and 13,013.92

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Solution

The fourth proportional to 23,085.48, 31,857.48 and 13,013.92 is: 17,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.48 : 31,857.48 = 13,013.92 : x
  2. Step 2: Convert to fraction form
    23,085.48/31,857.48 = 13,013.92/x
  3. Step 3: Cross multiply
    23,085.48x = 31,857.48 × 13,013.92
  4. Step 4: Simplify right side
    23,085.48x = 414,590,696.12
  5. Step 5: Solve for x
    x = 414,590,696.12/23,085.48
  6. Step 6: Final answer
    x = 17,958.94

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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.