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Finding the Fourth Proportional to 25,171.20, 37,762.20 and 7,642.80

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Solution

The fourth proportional to 25,171.20, 37,762.20 and 7,642.80 is: 11,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.20 : 37,762.20 = 7,642.80 : x
  2. Step 2: Convert to fraction form
    25,171.20/37,762.20 = 7,642.80/x
  3. Step 3: Cross multiply
    25,171.20x = 37,762.20 × 7,642.80
  4. Step 4: Simplify right side
    25,171.20x = 288,608,942.16
  5. Step 5: Solve for x
    x = 288,608,942.16/25,171.20
  6. Step 6: Final answer
    x = 11,465.84

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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.