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Finding the Fourth Proportional to 25,175.25, 37,762.88 and 11,987.64

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Solution

The fourth proportional to 25,175.25, 37,762.88 and 11,987.64 is: 17,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.25 : 37,762.88 = 11,987.64 : x
  2. Step 2: Convert to fraction form
    25,175.25/37,762.88 = 11,987.64/x
  3. Step 3: Cross multiply
    25,175.25x = 37,762.88 × 11,987.64
  4. Step 4: Simplify right side
    25,175.25x = 452,687,750.87
  5. Step 5: Solve for x
    x = 452,687,750.87/25,175.25
  6. Step 6: Final answer
    x = 17,981.46

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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.