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Finding the Fourth Proportional to 17,546.94, 24,214.80 and 9,992.94

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Solution

The fourth proportional to 17,546.94, 24,214.80 and 9,992.94 is: 13,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.94 : 24,214.80 = 9,992.94 : x
  2. Step 2: Convert to fraction form
    17,546.94/24,214.80 = 9,992.94/x
  3. Step 3: Cross multiply
    17,546.94x = 24,214.80 × 9,992.94
  4. Step 4: Simplify right side
    17,546.94x = 241,977,043.51
  5. Step 5: Solve for x
    x = 241,977,043.51/17,546.94
  6. Step 6: Final answer
    x = 13,790.27

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1.5x scale

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.