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Finding the Fourth Proportional to 12,776.49, 17,631 and 7,108.70

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Solution

The fourth proportional to 12,776.49, 17,631 and 7,108.70 is: 9,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.49 : 17,631 = 7,108.70 : x
  2. Step 2: Convert to fraction form
    12,776.49/17,631 = 7,108.70/x
  3. Step 3: Cross multiply
    12,776.49x = 17,631 × 7,108.70
  4. Step 4: Simplify right side
    12,776.49x = 125,333,401.55
  5. Step 5: Solve for x
    x = 125,333,401.55/12,776.49
  6. Step 6: Final answer
    x = 9,809.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.