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Finding the Fourth Proportional to 20,314.38, 30,476.77 and 7,831.06

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Solution

The fourth proportional to 20,314.38, 30,476.77 and 7,831.06 is: 11,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.38 : 30,476.77 = 7,831.06 : x
  2. Step 2: Convert to fraction form
    20,314.38/30,476.77 = 7,831.06/x
  3. Step 3: Cross multiply
    20,314.38x = 30,476.77 × 7,831.06
  4. Step 4: Simplify right side
    20,314.38x = 238,665,318.71
  5. Step 5: Solve for x
    x = 238,665,318.71/20,314.38
  6. Step 6: Final answer
    x = 11,748.59

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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.