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Finding the Fourth Proportional to 20,686.44, 31,029.84 and 9,589.98

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Solution

The fourth proportional to 20,686.44, 31,029.84 and 9,589.98 is: 14,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.44 : 31,029.84 = 9,589.98 : x
  2. Step 2: Convert to fraction form
    20,686.44/31,029.84 = 9,589.98/x
  3. Step 3: Cross multiply
    20,686.44x = 31,029.84 × 9,589.98
  4. Step 4: Simplify right side
    20,686.44x = 297,575,545.00
  5. Step 5: Solve for x
    x = 297,575,545.00/20,686.44
  6. Step 6: Final answer
    x = 14,385.05

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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.