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Finding the Fourth Proportional to 23,699.89, 32,705.74 and 13,089.48

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Solution

The fourth proportional to 23,699.89, 32,705.74 and 13,089.48 is: 18,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.89 : 32,705.74 = 13,089.48 : x
  2. Step 2: Convert to fraction form
    23,699.89/32,705.74 = 13,089.48/x
  3. Step 3: Cross multiply
    23,699.89x = 32,705.74 × 13,089.48
  4. Step 4: Simplify right side
    23,699.89x = 428,101,129.62
  5. Step 5: Solve for x
    x = 428,101,129.62/23,699.89
  6. Step 6: Final answer
    x = 18,063.42

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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.