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Finding the Fourth Proportional to 27,311.08, 40,970.94 and 9,780.52

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Solution

The fourth proportional to 27,311.08, 40,970.94 and 9,780.52 is: 14,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.08 : 40,970.94 = 9,780.52 : x
  2. Step 2: Convert to fraction form
    27,311.08/40,970.94 = 9,780.52/x
  3. Step 3: Cross multiply
    27,311.08x = 40,970.94 × 9,780.52
  4. Step 4: Simplify right side
    27,311.08x = 400,717,098.09
  5. Step 5: Solve for x
    x = 400,717,098.09/27,311.08
  6. Step 6: Final answer
    x = 14,672.33

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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.