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Finding the Fourth Proportional to 25,102.80, 34,638 and 14,490.38

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Solution

The fourth proportional to 25,102.80, 34,638 and 14,490.38 is: 19,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.80 : 34,638 = 14,490.38 : x
  2. Step 2: Convert to fraction form
    25,102.80/34,638 = 14,490.38/x
  3. Step 3: Cross multiply
    25,102.80x = 34,638 × 14,490.38
  4. Step 4: Simplify right side
    25,102.80x = 501,917,609.25
  5. Step 5: Solve for x
    x = 501,917,609.25/25,102.80
  6. Step 6: Final answer
    x = 19,994.49

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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.