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Finding the Fourth Proportional to 27,474.64, 37,894.96 and 17,404.72

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Solution

The fourth proportional to 27,474.64, 37,894.96 and 17,404.72 is: 24,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.64 : 37,894.96 = 17,404.72 : x
  2. Step 2: Convert to fraction form
    27,474.64/37,894.96 = 17,404.72/x
  3. Step 3: Cross multiply
    27,474.64x = 37,894.96 × 17,404.72
  4. Step 4: Simplify right side
    27,474.64x = 659,551,168.21
  5. Step 5: Solve for x
    x = 659,551,168.21/27,474.64
  6. Step 6: Final answer
    x = 24,005.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.