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Finding the Fourth Proportional to 20,134.64, 27,783.78 and 11,756.00

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Solution

The fourth proportional to 20,134.64, 27,783.78 and 11,756.00 is: 16,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.64 : 27,783.78 = 11,756.00 : x
  2. Step 2: Convert to fraction form
    20,134.64/27,783.78 = 11,756.00/x
  3. Step 3: Cross multiply
    20,134.64x = 27,783.78 × 11,756.00
  4. Step 4: Simplify right side
    20,134.64x = 326,626,143.05
  5. Step 5: Solve for x
    x = 326,626,143.05/20,134.64
  6. Step 6: Final answer
    x = 16,222.10

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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.