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Finding the Fourth Proportional to 16,353.68, 24,532.82 and 6,494

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Solution

The fourth proportional to 16,353.68, 24,532.82 and 6,494 is: 9,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.68 : 24,532.82 = 6,494 : x
  2. Step 2: Convert to fraction form
    16,353.68/24,532.82 = 6,494/x
  3. Step 3: Cross multiply
    16,353.68x = 24,532.82 × 6,494
  4. Step 4: Simplify right side
    16,353.68x = 159,316,133.08
  5. Step 5: Solve for x
    x = 159,316,133.08/16,353.68
  6. Step 6: Final answer
    x = 9,741.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.