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Finding the Fourth Proportional to 17,084.88, 25,624.44 and 4,770

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Solution

The fourth proportional to 17,084.88, 25,624.44 and 4,770 is: 7,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.88 : 25,624.44 = 4,770 : x
  2. Step 2: Convert to fraction form
    17,084.88/25,624.44 = 4,770/x
  3. Step 3: Cross multiply
    17,084.88x = 25,624.44 × 4,770
  4. Step 4: Simplify right side
    17,084.88x = 122,228,578.80
  5. Step 5: Solve for x
    x = 122,228,578.80/17,084.88
  6. Step 6: Final answer
    x = 7,154.20

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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.