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Finding the Fourth Proportional to 23,696.46, 32,701.12 and 13,086.18

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Solution

The fourth proportional to 23,696.46, 32,701.12 and 13,086.18 is: 18,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.46 : 32,701.12 = 13,086.18 : x
  2. Step 2: Convert to fraction form
    23,696.46/32,701.12 = 13,086.18/x
  3. Step 3: Cross multiply
    23,696.46x = 32,701.12 × 13,086.18
  4. Step 4: Simplify right side
    23,696.46x = 427,932,742.52
  5. Step 5: Solve for x
    x = 427,932,742.52/23,696.46
  6. Step 6: Final answer
    x = 18,058.93

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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.