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Finding the Fourth Proportional to 16,471.20, 24,674.40 and 9,877.80

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Solution

The fourth proportional to 16,471.20, 24,674.40 and 9,877.80 is: 14,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.20 : 24,674.40 = 9,877.80 : x
  2. Step 2: Convert to fraction form
    16,471.20/24,674.40 = 9,877.80/x
  3. Step 3: Cross multiply
    16,471.20x = 24,674.40 × 9,877.80
  4. Step 4: Simplify right side
    16,471.20x = 243,728,788.32
  5. Step 5: Solve for x
    x = 243,728,788.32/16,471.20
  6. Step 6: Final answer
    x = 14,797.27

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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.