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Finding the Fourth Proportional to 17,037.72, 23,498.64 and 11,730.60

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Solution

The fourth proportional to 17,037.72, 23,498.64 and 11,730.60 is: 16,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037.72 : 23,498.64 = 11,730.60 : x
  2. Step 2: Convert to fraction form
    17,037.72/23,498.64 = 11,730.60/x
  3. Step 3: Cross multiply
    17,037.72x = 23,498.64 × 11,730.60
  4. Step 4: Simplify right side
    17,037.72x = 275,653,146.38
  5. Step 5: Solve for x
    x = 275,653,146.38/17,037.72
  6. Step 6: Final answer
    x = 16,178.99

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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.