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Finding the Fourth Proportional to 17,075.96, 25,604.66 and 7,705

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Solution

The fourth proportional to 17,075.96, 25,604.66 and 7,705 is: 11,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075.96 : 25,604.66 = 7,705 : x
  2. Step 2: Convert to fraction form
    17,075.96/25,604.66 = 7,705/x
  3. Step 3: Cross multiply
    17,075.96x = 25,604.66 × 7,705
  4. Step 4: Simplify right side
    17,075.96x = 197,283,905.30
  5. Step 5: Solve for x
    x = 197,283,905.30/17,075.96
  6. Step 6: Final answer
    x = 11,553.31

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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.