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Finding the Fourth Proportional to 23,129.27, 31,916.30 and 13,055.74

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Solution

The fourth proportional to 23,129.27, 31,916.30 and 13,055.74 is: 18,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.27 : 31,916.30 = 13,055.74 : x
  2. Step 2: Convert to fraction form
    23,129.27/31,916.30 = 13,055.74/x
  3. Step 3: Cross multiply
    23,129.27x = 31,916.30 × 13,055.74
  4. Step 4: Simplify right side
    23,129.27x = 416,691,104.06
  5. Step 5: Solve for x
    x = 416,691,104.06/23,129.27
  6. Step 6: Final answer
    x = 18,015.75

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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.