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Finding the Fourth Proportional to 23,693.76, 32,696.48 and 13,083.14

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Solution

The fourth proportional to 23,693.76, 32,696.48 and 13,083.14 is: 18,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.76 : 32,696.48 = 13,083.14 : x
  2. Step 2: Convert to fraction form
    23,693.76/32,696.48 = 13,083.14/x
  3. Step 3: Cross multiply
    23,693.76x = 32,696.48 × 13,083.14
  4. Step 4: Simplify right side
    23,693.76x = 427,772,625.35
  5. Step 5: Solve for x
    x = 427,772,625.35/23,693.76
  6. Step 6: Final answer
    x = 18,054.23

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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.