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Finding the Fourth Proportional to 16,489.44, 24,708.65 and 12,582

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Solution

The fourth proportional to 16,489.44, 24,708.65 and 12,582 is: 18,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.44 : 24,708.65 = 12,582 : x
  2. Step 2: Convert to fraction form
    16,489.44/24,708.65 = 12,582/x
  3. Step 3: Cross multiply
    16,489.44x = 24,708.65 × 12,582
  4. Step 4: Simplify right side
    16,489.44x = 310,884,171.39
  5. Step 5: Solve for x
    x = 310,884,171.39/16,489.44
  6. Step 6: Final answer
    x = 18,853.53

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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.