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Finding the Fourth Proportional to 25,612.40, 38,425.80 and 10,828.40

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Solution

The fourth proportional to 25,612.40, 38,425.80 and 10,828.40 is: 16,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.40 : 38,425.80 = 10,828.40 : x
  2. Step 2: Convert to fraction form
    25,612.40/38,425.80 = 10,828.40/x
  3. Step 3: Cross multiply
    25,612.40x = 38,425.80 × 10,828.40
  4. Step 4: Simplify right side
    25,612.40x = 416,089,932.72
  5. Step 5: Solve for x
    x = 416,089,932.72/25,612.40
  6. Step 6: Final answer
    x = 16,245.64

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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.