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Finding the Fourth Proportional to 12,395.52, 17,108.82 and 7,677

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Solution

The fourth proportional to 12,395.52, 17,108.82 and 7,677 is: 10,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.52 : 17,108.82 = 7,677 : x
  2. Step 2: Convert to fraction form
    12,395.52/17,108.82 = 7,677/x
  3. Step 3: Cross multiply
    12,395.52x = 17,108.82 × 7,677
  4. Step 4: Simplify right side
    12,395.52x = 131,344,411.14
  5. Step 5: Solve for x
    x = 131,344,411.14/12,395.52
  6. Step 6: Final answer
    x = 10,596.12

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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.