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Finding the Fourth Proportional to 16,824.70, 25,237.05 and 9,826.30

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Solution

The fourth proportional to 16,824.70, 25,237.05 and 9,826.30 is: 14,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.70 : 25,237.05 = 9,826.30 : x
  2. Step 2: Convert to fraction form
    16,824.70/25,237.05 = 9,826.30/x
  3. Step 3: Cross multiply
    16,824.70x = 25,237.05 × 9,826.30
  4. Step 4: Simplify right side
    16,824.70x = 247,986,824.42
  5. Step 5: Solve for x
    x = 247,986,824.42/16,824.70
  6. Step 6: Final answer
    x = 14,739.45

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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.