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Finding the Fourth Proportional to 16,154.53, 24,236.40 and 6,789.71

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Solution

The fourth proportional to 16,154.53, 24,236.40 and 6,789.71 is: 10,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.53 : 24,236.40 = 6,789.71 : x
  2. Step 2: Convert to fraction form
    16,154.53/24,236.40 = 6,789.71/x
  3. Step 3: Cross multiply
    16,154.53x = 24,236.40 × 6,789.71
  4. Step 4: Simplify right side
    16,154.53x = 164,558,127.44
  5. Step 5: Solve for x
    x = 164,558,127.44/16,154.53
  6. Step 6: Final answer
    x = 10,186.50

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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.