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Finding the Fourth Proportional to 25,781.90, 35,578.90 and 14,451.38

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Solution

The fourth proportional to 25,781.90, 35,578.90 and 14,451.38 is: 19,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.90 : 35,578.90 = 14,451.38 : x
  2. Step 2: Convert to fraction form
    25,781.90/35,578.90 = 14,451.38/x
  3. Step 3: Cross multiply
    25,781.90x = 35,578.90 × 14,451.38
  4. Step 4: Simplify right side
    25,781.90x = 514,164,096.18
  5. Step 5: Solve for x
    x = 514,164,096.18/25,781.90
  6. Step 6: Final answer
    x = 19,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.