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Finding the Fourth Proportional to 21,812.64, 32,738.40 and 14,892

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Solution

The fourth proportional to 21,812.64, 32,738.40 and 14,892 is: 22,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.64 : 32,738.40 = 14,892 : x
  2. Step 2: Convert to fraction form
    21,812.64/32,738.40 = 14,892/x
  3. Step 3: Cross multiply
    21,812.64x = 32,738.40 × 14,892
  4. Step 4: Simplify right side
    21,812.64x = 487,540,252.80
  5. Step 5: Solve for x
    x = 487,540,252.80/21,812.64
  6. Step 6: Final answer
    x = 22,351.27

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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.