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Finding the Fourth Proportional to 25,644, 35,388.78 and 14,466

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Solution

The fourth proportional to 25,644, 35,388.78 and 14,466 is: 19,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644 : 35,388.78 = 14,466 : x
  2. Step 2: Convert to fraction form
    25,644/35,388.78 = 14,466/x
  3. Step 3: Cross multiply
    25,644x = 35,388.78 × 14,466
  4. Step 4: Simplify right side
    25,644x = 511,934,091.48
  5. Step 5: Solve for x
    x = 511,934,091.48/25,644
  6. Step 6: Final answer
    x = 19,963.11

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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.