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Finding the Fourth Proportional to 14,922.41, 20,592.43 and 8,207.98

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Solution

The fourth proportional to 14,922.41, 20,592.43 and 8,207.98 is: 11,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.41 : 20,592.43 = 8,207.98 : x
  2. Step 2: Convert to fraction form
    14,922.41/20,592.43 = 8,207.98/x
  3. Step 3: Cross multiply
    14,922.41x = 20,592.43 × 8,207.98
  4. Step 4: Simplify right side
    14,922.41x = 169,022,297.42
  5. Step 5: Solve for x
    x = 169,022,297.42/14,922.41
  6. Step 6: Final answer
    x = 11,326.74

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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.