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Finding the Fourth Proportional to 17,102.60, 25,625.10 and 14,625.80

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Solution

The fourth proportional to 17,102.60, 25,625.10 and 14,625.80 is: 21,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.60 : 25,625.10 = 14,625.80 : x
  2. Step 2: Convert to fraction form
    17,102.60/25,625.10 = 14,625.80/x
  3. Step 3: Cross multiply
    17,102.60x = 25,625.10 × 14,625.80
  4. Step 4: Simplify right side
    17,102.60x = 374,787,587.58
  5. Step 5: Solve for x
    x = 374,787,587.58/17,102.60
  6. Step 6: Final answer
    x = 21,914.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.