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Finding the Fourth Proportional to 12,654.68, 18,982.08 and 5,259.16

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Solution

The fourth proportional to 12,654.68, 18,982.08 and 5,259.16 is: 7,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.68 : 18,982.08 = 5,259.16 : x
  2. Step 2: Convert to fraction form
    12,654.68/18,982.08 = 5,259.16/x
  3. Step 3: Cross multiply
    12,654.68x = 18,982.08 × 5,259.16
  4. Step 4: Simplify right side
    12,654.68x = 99,829,795.85
  5. Step 5: Solve for x
    x = 99,829,795.85/12,654.68
  6. Step 6: Final answer
    x = 7,888.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.