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Finding the Fourth Proportional to 20,048.76, 27,666.99 and 11,096.10

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Solution

The fourth proportional to 20,048.76, 27,666.99 and 11,096.10 is: 15,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.76 : 27,666.99 = 11,096.10 : x
  2. Step 2: Convert to fraction form
    20,048.76/27,666.99 = 11,096.10/x
  3. Step 3: Cross multiply
    20,048.76x = 27,666.99 × 11,096.10
  4. Step 4: Simplify right side
    20,048.76x = 306,995,687.74
  5. Step 5: Solve for x
    x = 306,995,687.74/20,048.76
  6. Step 6: Final answer
    x = 15,312.45

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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.