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Finding the Fourth Proportional to 20,867.60, 31,273.68 and 7,707.84

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Solution

The fourth proportional to 20,867.60, 31,273.68 and 7,707.84 is: 11,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.60 : 31,273.68 = 7,707.84 : x
  2. Step 2: Convert to fraction form
    20,867.60/31,273.68 = 7,707.84/x
  3. Step 3: Cross multiply
    20,867.60x = 31,273.68 × 7,707.84
  4. Step 4: Simplify right side
    20,867.60x = 241,052,521.65
  5. Step 5: Solve for x
    x = 241,052,521.65/20,867.60
  6. Step 6: Final answer
    x = 11,551.52

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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.