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Finding the Fourth Proportional to 27,804.74, 41,714.93 and 11,176.46

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Solution

The fourth proportional to 27,804.74, 41,714.93 and 11,176.46 is: 16,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.74 : 41,714.93 = 11,176.46 : x
  2. Step 2: Convert to fraction form
    27,804.74/41,714.93 = 11,176.46/x
  3. Step 3: Cross multiply
    27,804.74x = 41,714.93 × 11,176.46
  4. Step 4: Simplify right side
    27,804.74x = 466,225,246.55
  5. Step 5: Solve for x
    x = 466,225,246.55/27,804.74
  6. Step 6: Final answer
    x = 16,767.83

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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.