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Finding the Fourth Proportional to 14,540.98, 20,065.51 and 8,167.24

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Solution

The fourth proportional to 14,540.98, 20,065.51 and 8,167.24 is: 11,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.98 : 20,065.51 = 8,167.24 : x
  2. Step 2: Convert to fraction form
    14,540.98/20,065.51 = 8,167.24/x
  3. Step 3: Cross multiply
    14,540.98x = 20,065.51 × 8,167.24
  4. Step 4: Simplify right side
    14,540.98x = 163,879,835.89
  5. Step 5: Solve for x
    x = 163,879,835.89/14,540.98
  6. Step 6: Final answer
    x = 11,270.21

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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.