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Finding the Fourth Proportional to 20,133.60, 27,784.64 and 11,181.68

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Solution

The fourth proportional to 20,133.60, 27,784.64 and 11,181.68 is: 15,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.60 : 27,784.64 = 11,181.68 : x
  2. Step 2: Convert to fraction form
    20,133.60/27,784.64 = 11,181.68/x
  3. Step 3: Cross multiply
    20,133.60x = 27,784.64 × 11,181.68
  4. Step 4: Simplify right side
    20,133.60x = 310,678,953.40
  5. Step 5: Solve for x
    x = 310,678,953.40/20,133.60
  6. Step 6: Final answer
    x = 15,430.87

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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.