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Finding the Fourth Proportional to 25,510.68, 38,266.08 and 7,980.54

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Solution

The fourth proportional to 25,510.68, 38,266.08 and 7,980.54 is: 11,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.68 : 38,266.08 = 7,980.54 : x
  2. Step 2: Convert to fraction form
    25,510.68/38,266.08 = 7,980.54/x
  3. Step 3: Cross multiply
    25,510.68x = 38,266.08 × 7,980.54
  4. Step 4: Simplify right side
    25,510.68x = 305,383,982.08
  5. Step 5: Solve for x
    x = 305,383,982.08/25,510.68
  6. Step 6: Final answer
    x = 11,970.83

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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.