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Finding the Fourth Proportional to 16,428, 24,642 and 6,571.68

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Solution

The fourth proportional to 16,428, 24,642 and 6,571.68 is: 9,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428 : 24,642 = 6,571.68 : x
  2. Step 2: Convert to fraction form
    16,428/24,642 = 6,571.68/x
  3. Step 3: Cross multiply
    16,428x = 24,642 × 6,571.68
  4. Step 4: Simplify right side
    16,428x = 161,939,338.56
  5. Step 5: Solve for x
    x = 161,939,338.56/16,428
  6. Step 6: Final answer
    x = 9,857.52

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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.