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Finding the Fourth Proportional to 17,381.78, 26,062.94 and 5,694.02

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Solution

The fourth proportional to 17,381.78, 26,062.94 and 5,694.02 is: 8,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.78 : 26,062.94 = 5,694.02 : x
  2. Step 2: Convert to fraction form
    17,381.78/26,062.94 = 5,694.02/x
  3. Step 3: Cross multiply
    17,381.78x = 26,062.94 × 5,694.02
  4. Step 4: Simplify right side
    17,381.78x = 148,402,742.83
  5. Step 5: Solve for x
    x = 148,402,742.83/17,381.78
  6. Step 6: Final answer
    x = 8,537.84

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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.