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Finding the Fourth Proportional to 20,707.14, 31,065.34 and 7,559.52

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Solution

The fourth proportional to 20,707.14, 31,065.34 and 7,559.52 is: 11,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707.14 : 31,065.34 = 7,559.52 : x
  2. Step 2: Convert to fraction form
    20,707.14/31,065.34 = 7,559.52/x
  3. Step 3: Cross multiply
    20,707.14x = 31,065.34 × 7,559.52
  4. Step 4: Simplify right side
    20,707.14x = 234,839,059.04
  5. Step 5: Solve for x
    x = 234,839,059.04/20,707.14
  6. Step 6: Final answer
    x = 11,340.97

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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.