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Finding the Fourth Proportional to 16,338.28, 24,507.42 and 4,651.50

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Solution

The fourth proportional to 16,338.28, 24,507.42 and 4,651.50 is: 6,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.28 : 24,507.42 = 4,651.50 : x
  2. Step 2: Convert to fraction form
    16,338.28/24,507.42 = 4,651.50/x
  3. Step 3: Cross multiply
    16,338.28x = 24,507.42 × 4,651.50
  4. Step 4: Simplify right side
    16,338.28x = 113,996,282.74
  5. Step 5: Solve for x
    x = 113,996,282.74/16,338.28
  6. Step 6: Final answer
    x = 6,977.25

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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.