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Finding the Fourth Proportional to 16,589.40, 24,811.20 and 12,652.80

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Solution

The fourth proportional to 16,589.40, 24,811.20 and 12,652.80 is: 18,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.40 : 24,811.20 = 12,652.80 : x
  2. Step 2: Convert to fraction form
    16,589.40/24,811.20 = 12,652.80/x
  3. Step 3: Cross multiply
    16,589.40x = 24,811.20 × 12,652.80
  4. Step 4: Simplify right side
    16,589.40x = 313,931,151.36
  5. Step 5: Solve for x
    x = 313,931,151.36/16,589.40
  6. Step 6: Final answer
    x = 18,923.60

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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.