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Finding the Fourth Proportional to 16,969.38, 23,412.87 and 9,798.72

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Solution

The fourth proportional to 16,969.38, 23,412.87 and 9,798.72 is: 13,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.38 : 23,412.87 = 9,798.72 : x
  2. Step 2: Convert to fraction form
    16,969.38/23,412.87 = 9,798.72/x
  3. Step 3: Cross multiply
    16,969.38x = 23,412.87 × 9,798.72
  4. Step 4: Simplify right side
    16,969.38x = 229,416,157.53
  5. Step 5: Solve for x
    x = 229,416,157.53/16,969.38
  6. Step 6: Final answer
    x = 13,519.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.