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Finding the Fourth Proportional to 20,133.25, 27,784.25 and 11,181.58

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Solution

The fourth proportional to 20,133.25, 27,784.25 and 11,181.58 is: 15,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.25 : 27,784.25 = 11,181.58 : x
  2. Step 2: Convert to fraction form
    20,133.25/27,784.25 = 11,181.58/x
  3. Step 3: Cross multiply
    20,133.25x = 27,784.25 × 11,181.58
  4. Step 4: Simplify right side
    20,133.25x = 310,671,814.12
  5. Step 5: Solve for x
    x = 310,671,814.12/20,133.25
  6. Step 6: Final answer
    x = 15,430.78

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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.