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Finding the Fourth Proportional to 27,008.64, 40,497.96 and 11,209.32

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Solution

The fourth proportional to 27,008.64, 40,497.96 and 11,209.32 is: 16,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008.64 : 40,497.96 = 11,209.32 : x
  2. Step 2: Convert to fraction form
    27,008.64/40,497.96 = 11,209.32/x
  3. Step 3: Cross multiply
    27,008.64x = 40,497.96 × 11,209.32
  4. Step 4: Simplify right side
    27,008.64x = 453,954,592.99
  5. Step 5: Solve for x
    x = 453,954,592.99/27,008.64
  6. Step 6: Final answer
    x = 16,807.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.