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Finding the Fourth Proportional to 17,478.78, 26,213.58 and 11,931.09

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Solution

The fourth proportional to 17,478.78, 26,213.58 and 11,931.09 is: 17,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.78 : 26,213.58 = 11,931.09 : x
  2. Step 2: Convert to fraction form
    17,478.78/26,213.58 = 11,931.09/x
  3. Step 3: Cross multiply
    17,478.78x = 26,213.58 × 11,931.09
  4. Step 4: Simplify right side
    17,478.78x = 312,756,582.20
  5. Step 5: Solve for x
    x = 312,756,582.20/17,478.78
  6. Step 6: Final answer
    x = 17,893.50

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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.