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Finding the Fourth Proportional to 16,965.13, 25,458.65 and 6,576.88

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Solution

The fourth proportional to 16,965.13, 25,458.65 and 6,576.88 is: 9,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.13 : 25,458.65 = 6,576.88 : x
  2. Step 2: Convert to fraction form
    16,965.13/25,458.65 = 6,576.88/x
  3. Step 3: Cross multiply
    16,965.13x = 25,458.65 × 6,576.88
  4. Step 4: Simplify right side
    16,965.13x = 167,438,325.83
  5. Step 5: Solve for x
    x = 167,438,325.83/16,965.13
  6. Step 6: Final answer
    x = 9,869.56

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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.