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Finding the Fourth Proportional to 20,030.14, 27,642.06 and 11,077.81

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Solution

The fourth proportional to 20,030.14, 27,642.06 and 11,077.81 is: 15,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.14 : 27,642.06 = 11,077.81 : x
  2. Step 2: Convert to fraction form
    20,030.14/27,642.06 = 11,077.81/x
  3. Step 3: Cross multiply
    20,030.14x = 27,642.06 × 11,077.81
  4. Step 4: Simplify right side
    20,030.14x = 306,213,488.69
  5. Step 5: Solve for x
    x = 306,213,488.69/20,030.14
  6. Step 6: Final answer
    x = 15,287.64

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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.