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Finding the Fourth Proportional to 12,264.46, 16,924.49 and 6,958.96

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Solution

The fourth proportional to 12,264.46, 16,924.49 and 6,958.96 is: 9,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.46 : 16,924.49 = 6,958.96 : x
  2. Step 2: Convert to fraction form
    12,264.46/16,924.49 = 6,958.96/x
  3. Step 3: Cross multiply
    12,264.46x = 16,924.49 × 6,958.96
  4. Step 4: Simplify right side
    12,264.46x = 117,776,814.14
  5. Step 5: Solve for x
    x = 117,776,814.14/12,264.46
  6. Step 6: Final answer
    x = 9,603.10

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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.