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Finding the Fourth Proportional to 17,464.71, 26,181.63 and 6,942.11

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Solution

The fourth proportional to 17,464.71, 26,181.63 and 6,942.11 is: 10,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.71 : 26,181.63 = 6,942.11 : x
  2. Step 2: Convert to fraction form
    17,464.71/26,181.63 = 6,942.11/x
  3. Step 3: Cross multiply
    17,464.71x = 26,181.63 × 6,942.11
  4. Step 4: Simplify right side
    17,464.71x = 181,755,624.53
  5. Step 5: Solve for x
    x = 181,755,624.53/17,464.71
  6. Step 6: Final answer
    x = 10,407.02

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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.