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Finding the Fourth Proportional to 25,197.30, 37,782.88 and 7,425.66

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Solution

The fourth proportional to 25,197.30, 37,782.88 and 7,425.66 is: 11,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197.30 : 37,782.88 = 7,425.66 : x
  2. Step 2: Convert to fraction form
    25,197.30/37,782.88 = 7,425.66/x
  3. Step 3: Cross multiply
    25,197.30x = 37,782.88 × 7,425.66
  4. Step 4: Simplify right side
    25,197.30x = 280,562,802.14
  5. Step 5: Solve for x
    x = 280,562,802.14/25,197.30
  6. Step 6: Final answer
    x = 11,134.64

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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.