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Finding the Fourth Proportional to 14,786.66, 20,404.85 and 8,072.24

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Solution

The fourth proportional to 14,786.66, 20,404.85 and 8,072.24 is: 11,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.66 : 20,404.85 = 8,072.24 : x
  2. Step 2: Convert to fraction form
    14,786.66/20,404.85 = 8,072.24/x
  3. Step 3: Cross multiply
    14,786.66x = 20,404.85 × 8,072.24
  4. Step 4: Simplify right side
    14,786.66x = 164,712,703.98
  5. Step 5: Solve for x
    x = 164,712,703.98/14,786.66
  6. Step 6: Final answer
    x = 11,139.28

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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.