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Finding the Fourth Proportional to 23,524.34, 32,463.62 and 12,769.21

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Solution

The fourth proportional to 23,524.34, 32,463.62 and 12,769.21 is: 17,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.34 : 32,463.62 = 12,769.21 : x
  2. Step 2: Convert to fraction form
    23,524.34/32,463.62 = 12,769.21/x
  3. Step 3: Cross multiply
    23,524.34x = 32,463.62 × 12,769.21
  4. Step 4: Simplify right side
    23,524.34x = 414,534,822.18
  5. Step 5: Solve for x
    x = 414,534,822.18/23,524.34
  6. Step 6: Final answer
    x = 17,621.53

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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.