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Finding the Fourth Proportional to 17,847.71, 24,623.31 and 10,677.83

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Solution

The fourth proportional to 17,847.71, 24,623.31 and 10,677.83 is: 14,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.71 : 24,623.31 = 10,677.83 : x
  2. Step 2: Convert to fraction form
    17,847.71/24,623.31 = 10,677.83/x
  3. Step 3: Cross multiply
    17,847.71x = 24,623.31 × 10,677.83
  4. Step 4: Simplify right side
    17,847.71x = 262,923,395.10
  5. Step 5: Solve for x
    x = 262,923,395.10/17,847.71
  6. Step 6: Final answer
    x = 14,731.50

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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.