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Finding the Fourth Proportional to 27,664.49, 41,486.54 and 9,890.34

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Solution

The fourth proportional to 27,664.49, 41,486.54 and 9,890.34 is: 14,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,664.49 : 41,486.54 = 9,890.34 : x
  2. Step 2: Convert to fraction form
    27,664.49/41,486.54 = 9,890.34/x
  3. Step 3: Cross multiply
    27,664.49x = 41,486.54 × 9,890.34
  4. Step 4: Simplify right side
    27,664.49x = 410,316,010.75
  5. Step 5: Solve for x
    x = 410,316,010.75/27,664.49
  6. Step 6: Final answer
    x = 14,831.87

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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.