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Finding the Fourth Proportional to 25,175.30, 37,762.94 and 11,987.69

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Solution

The fourth proportional to 25,175.30, 37,762.94 and 11,987.69 is: 17,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.30 : 37,762.94 = 11,987.69 : x
  2. Step 2: Convert to fraction form
    25,175.30/37,762.94 = 11,987.69/x
  3. Step 3: Cross multiply
    25,175.30x = 37,762.94 × 11,987.69
  4. Step 4: Simplify right side
    25,175.30x = 452,690,169.46
  5. Step 5: Solve for x
    x = 452,690,169.46/25,175.30
  6. Step 6: Final answer
    x = 17,981.52

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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.