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Finding the Fourth Proportional to 16,642, 24,964.62 and 4,330

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Solution

The fourth proportional to 16,642, 24,964.62 and 4,330 is: 6,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642 : 24,964.62 = 4,330 : x
  2. Step 2: Convert to fraction form
    16,642/24,964.62 = 4,330/x
  3. Step 3: Cross multiply
    16,642x = 24,964.62 × 4,330
  4. Step 4: Simplify right side
    16,642x = 108,096,804.60
  5. Step 5: Solve for x
    x = 108,096,804.60/16,642
  6. Step 6: Final answer
    x = 6,495.42

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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.