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Finding the Fourth Proportional to 21,760.17, 30,038.22 and 14,696.16

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Solution

The fourth proportional to 21,760.17, 30,038.22 and 14,696.16 is: 20,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.17 : 30,038.22 = 14,696.16 : x
  2. Step 2: Convert to fraction form
    21,760.17/30,038.22 = 14,696.16/x
  3. Step 3: Cross multiply
    21,760.17x = 30,038.22 × 14,696.16
  4. Step 4: Simplify right side
    21,760.17x = 441,446,487.24
  5. Step 5: Solve for x
    x = 441,446,487.24/21,760.17
  6. Step 6: Final answer
    x = 20,286.90

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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.