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Finding the Fourth Proportional to 23,693.97, 32,697.68 and 13,083.60

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Solution

The fourth proportional to 23,693.97, 32,697.68 and 13,083.60 is: 18,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.97 : 32,697.68 = 13,083.60 : x
  2. Step 2: Convert to fraction form
    23,693.97/32,697.68 = 13,083.60/x
  3. Step 3: Cross multiply
    23,693.97x = 32,697.68 × 13,083.60
  4. Step 4: Simplify right side
    23,693.97x = 427,803,300.63
  5. Step 5: Solve for x
    x = 427,803,300.63/23,693.97
  6. Step 6: Final answer
    x = 18,055.37

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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.