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Finding the Fourth Proportional to 25,261.71, 37,781.80 and 17,640.69

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Solution

The fourth proportional to 25,261.71, 37,781.80 and 17,640.69 is: 26,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,261.71 : 37,781.80 = 17,640.69 : x
  2. Step 2: Convert to fraction form
    25,261.71/37,781.80 = 17,640.69/x
  3. Step 3: Cross multiply
    25,261.71x = 37,781.80 × 17,640.69
  4. Step 4: Simplify right side
    25,261.71x = 666,497,021.44
  5. Step 5: Solve for x
    x = 666,497,021.44/25,261.71
  6. Step 6: Final answer
    x = 26,383.69

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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.