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Finding the Fourth Proportional to 17,784.84, 26,614.44 and 13,093.86

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Solution

The fourth proportional to 17,784.84, 26,614.44 and 13,093.86 is: 19,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.84 : 26,614.44 = 13,093.86 : x
  2. Step 2: Convert to fraction form
    17,784.84/26,614.44 = 13,093.86/x
  3. Step 3: Cross multiply
    17,784.84x = 26,614.44 × 13,093.86
  4. Step 4: Simplify right side
    17,784.84x = 348,485,751.34
  5. Step 5: Solve for x
    x = 348,485,751.34/17,784.84
  6. Step 6: Final answer
    x = 19,594.54

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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.