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Finding the Fourth Proportional to 20,047.88, 27,666.42 and 11,096.12

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Solution

The fourth proportional to 20,047.88, 27,666.42 and 11,096.12 is: 15,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.88 : 27,666.42 = 11,096.12 : x
  2. Step 2: Convert to fraction form
    20,047.88/27,666.42 = 11,096.12/x
  3. Step 3: Cross multiply
    20,047.88x = 27,666.42 × 11,096.12
  4. Step 4: Simplify right side
    20,047.88x = 306,989,916.29
  5. Step 5: Solve for x
    x = 306,989,916.29/20,047.88
  6. Step 6: Final answer
    x = 15,312.84

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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.