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Finding the Fourth Proportional to 14,651.34, 20,205.82 and 11,502.06

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Solution

The fourth proportional to 14,651.34, 20,205.82 and 11,502.06 is: 15,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.34 : 20,205.82 = 11,502.06 : x
  2. Step 2: Convert to fraction form
    14,651.34/20,205.82 = 11,502.06/x
  3. Step 3: Cross multiply
    14,651.34x = 20,205.82 × 11,502.06
  4. Step 4: Simplify right side
    14,651.34x = 232,408,553.99
  5. Step 5: Solve for x
    x = 232,408,553.99/14,651.34
  6. Step 6: Final answer
    x = 15,862.61

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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.