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Finding the Fourth Proportional to 25,470.40, 38,207.04 and 7,942.72

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Solution

The fourth proportional to 25,470.40, 38,207.04 and 7,942.72 is: 11,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.40 : 38,207.04 = 7,942.72 : x
  2. Step 2: Convert to fraction form
    25,470.40/38,207.04 = 7,942.72/x
  3. Step 3: Cross multiply
    25,470.40x = 38,207.04 × 7,942.72
  4. Step 4: Simplify right side
    25,470.40x = 303,467,820.75
  5. Step 5: Solve for x
    x = 303,467,820.75/25,470.40
  6. Step 6: Final answer
    x = 11,914.53

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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.