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Finding the Fourth Proportional to 12,424.07, 17,141.82 and 8,642.99

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Solution

The fourth proportional to 12,424.07, 17,141.82 and 8,642.99 is: 11,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.07 : 17,141.82 = 8,642.99 : x
  2. Step 2: Convert to fraction form
    12,424.07/17,141.82 = 8,642.99/x
  3. Step 3: Cross multiply
    12,424.07x = 17,141.82 × 8,642.99
  4. Step 4: Simplify right side
    12,424.07x = 148,156,578.84
  5. Step 5: Solve for x
    x = 148,156,578.84/12,424.07
  6. Step 6: Final answer
    x = 11,924.96

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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.