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Finding the Fourth Proportional to 16,478.36, 24,726.77 and 8,156.14

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Solution

The fourth proportional to 16,478.36, 24,726.77 and 8,156.14 is: 12,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.36 : 24,726.77 = 8,156.14 : x
  2. Step 2: Convert to fraction form
    16,478.36/24,726.77 = 8,156.14/x
  3. Step 3: Cross multiply
    16,478.36x = 24,726.77 × 8,156.14
  4. Step 4: Simplify right side
    16,478.36x = 201,675,064.94
  5. Step 5: Solve for x
    x = 201,675,064.94/16,478.36
  6. Step 6: Final answer
    x = 12,238.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.