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Finding the Fourth Proportional to 20,080.74, 27,710.94 and 11,582.88

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Solution

The fourth proportional to 20,080.74, 27,710.94 and 11,582.88 is: 15,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.74 : 27,710.94 = 11,582.88 : x
  2. Step 2: Convert to fraction form
    20,080.74/27,710.94 = 11,582.88/x
  3. Step 3: Cross multiply
    20,080.74x = 27,710.94 × 11,582.88
  4. Step 4: Simplify right side
    20,080.74x = 320,972,492.71
  5. Step 5: Solve for x
    x = 320,972,492.71/20,080.74
  6. Step 6: Final answer
    x = 15,984.10

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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.