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Finding the Fourth Proportional to 16,586.80, 24,880.20 and 9,588.40

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Solution

The fourth proportional to 16,586.80, 24,880.20 and 9,588.40 is: 14,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.80 : 24,880.20 = 9,588.40 : x
  2. Step 2: Convert to fraction form
    16,586.80/24,880.20 = 9,588.40/x
  3. Step 3: Cross multiply
    16,586.80x = 24,880.20 × 9,588.40
  4. Step 4: Simplify right side
    16,586.80x = 238,561,309.68
  5. Step 5: Solve for x
    x = 238,561,309.68/16,586.80
  6. Step 6: Final answer
    x = 14,382.60

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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.