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Finding the Fourth Proportional to 25,812.80, 38,740.80 and 12,676.40

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Solution

The fourth proportional to 25,812.80, 38,740.80 and 12,676.40 is: 19,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812.80 : 38,740.80 = 12,676.40 : x
  2. Step 2: Convert to fraction form
    25,812.80/38,740.80 = 12,676.40/x
  3. Step 3: Cross multiply
    25,812.80x = 38,740.80 × 12,676.40
  4. Step 4: Simplify right side
    25,812.80x = 491,093,877.12
  5. Step 5: Solve for x
    x = 491,093,877.12/25,812.80
  6. Step 6: Final answer
    x = 19,025.21

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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.