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Finding the Fourth Proportional to 16,439.88, 24,662.50 and 9,047.80

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Solution

The fourth proportional to 16,439.88, 24,662.50 and 9,047.80 is: 13,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.88 : 24,662.50 = 9,047.80 : x
  2. Step 2: Convert to fraction form
    16,439.88/24,662.50 = 9,047.80/x
  3. Step 3: Cross multiply
    16,439.88x = 24,662.50 × 9,047.80
  4. Step 4: Simplify right side
    16,439.88x = 223,141,367.50
  5. Step 5: Solve for x
    x = 223,141,367.50/16,439.88
  6. Step 6: Final answer
    x = 13,573.17

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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.