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Finding the Fourth Proportional to 27,170.85, 40,758.30 and 9,638.40

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Solution

The fourth proportional to 27,170.85, 40,758.30 and 9,638.40 is: 14,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.85 : 40,758.30 = 9,638.40 : x
  2. Step 2: Convert to fraction form
    27,170.85/40,758.30 = 9,638.40/x
  3. Step 3: Cross multiply
    27,170.85x = 40,758.30 × 9,638.40
  4. Step 4: Simplify right side
    27,170.85x = 392,844,798.72
  5. Step 5: Solve for x
    x = 392,844,798.72/27,170.85
  6. Step 6: Final answer
    x = 14,458.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.