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Finding the Fourth Proportional to 20,088.86, 27,724.02 and 11,137.20

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Solution

The fourth proportional to 20,088.86, 27,724.02 and 11,137.20 is: 15,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,088.86 : 27,724.02 = 11,137.20 : x
  2. Step 2: Convert to fraction form
    20,088.86/27,724.02 = 11,137.20/x
  3. Step 3: Cross multiply
    20,088.86x = 27,724.02 × 11,137.20
  4. Step 4: Simplify right side
    20,088.86x = 308,767,872.46
  5. Step 5: Solve for x
    x = 308,767,872.46/20,088.86
  6. Step 6: Final answer
    x = 15,370.10

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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.