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Finding the Fourth Proportional to 23,662.50, 32,654.10 and 13,052.14

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Solution

The fourth proportional to 23,662.50, 32,654.10 and 13,052.14 is: 18,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.50 : 32,654.10 = 13,052.14 : x
  2. Step 2: Convert to fraction form
    23,662.50/32,654.10 = 13,052.14/x
  3. Step 3: Cross multiply
    23,662.50x = 32,654.10 × 13,052.14
  4. Step 4: Simplify right side
    23,662.50x = 426,205,852.08
  5. Step 5: Solve for x
    x = 426,205,852.08/23,662.50
  6. Step 6: Final answer
    x = 18,011.87

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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.