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Finding the Fourth Proportional to 21,571.64, 29,767.73 and 12,140.81

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Solution

The fourth proportional to 21,571.64, 29,767.73 and 12,140.81 is: 16,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.64 : 29,767.73 = 12,140.81 : x
  2. Step 2: Convert to fraction form
    21,571.64/29,767.73 = 12,140.81/x
  3. Step 3: Cross multiply
    21,571.64x = 29,767.73 × 12,140.81
  4. Step 4: Simplify right side
    21,571.64x = 361,404,354.06
  5. Step 5: Solve for x
    x = 361,404,354.06/21,571.64
  6. Step 6: Final answer
    x = 16,753.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.