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Finding the Fourth Proportional to 25,225.43, 37,836.77 and 7,693.88

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Solution

The fourth proportional to 25,225.43, 37,836.77 and 7,693.88 is: 11,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.43 : 37,836.77 = 7,693.88 : x
  2. Step 2: Convert to fraction form
    25,225.43/37,836.77 = 7,693.88/x
  3. Step 3: Cross multiply
    25,225.43x = 37,836.77 × 7,693.88
  4. Step 4: Simplify right side
    25,225.43x = 291,111,340.31
  5. Step 5: Solve for x
    x = 291,111,340.31/25,225.43
  6. Step 6: Final answer
    x = 11,540.39

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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.