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Finding the Fourth Proportional to 27,900.34, 41,854.61 and 9,176.89

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Solution

The fourth proportional to 27,900.34, 41,854.61 and 9,176.89 is: 13,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.34 : 41,854.61 = 9,176.89 : x
  2. Step 2: Convert to fraction form
    27,900.34/41,854.61 = 9,176.89/x
  3. Step 3: Cross multiply
    27,900.34x = 41,854.61 × 9,176.89
  4. Step 4: Simplify right side
    27,900.34x = 384,095,001.44
  5. Step 5: Solve for x
    x = 384,095,001.44/27,900.34
  6. Step 6: Final answer
    x = 13,766.68

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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.