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Finding the Fourth Proportional to 27,527.76, 41,300.16 and 9,997.68

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Solution

The fourth proportional to 27,527.76, 41,300.16 and 9,997.68 is: 14,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527.76 : 41,300.16 = 9,997.68 : x
  2. Step 2: Convert to fraction form
    27,527.76/41,300.16 = 9,997.68/x
  3. Step 3: Cross multiply
    27,527.76x = 41,300.16 × 9,997.68
  4. Step 4: Simplify right side
    27,527.76x = 412,905,783.63
  5. Step 5: Solve for x
    x = 412,905,783.63/27,527.76
  6. Step 6: Final answer
    x = 14,999.61

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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.