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Finding the Fourth Proportional to 27,732.63, 41,580.74 and 9,954.37

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Solution

The fourth proportional to 27,732.63, 41,580.74 and 9,954.37 is: 14,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.63 : 41,580.74 = 9,954.37 : x
  2. Step 2: Convert to fraction form
    27,732.63/41,580.74 = 9,954.37/x
  3. Step 3: Cross multiply
    27,732.63x = 41,580.74 × 9,954.37
  4. Step 4: Simplify right side
    27,732.63x = 413,910,070.83
  5. Step 5: Solve for x
    x = 413,910,070.83/27,732.63
  6. Step 6: Final answer
    x = 14,925.02

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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.