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Finding the Fourth Proportional to 15,999.30, 23,934.87 and 13,831.38

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Solution

The fourth proportional to 15,999.30, 23,934.87 and 13,831.38 is: 20,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.30 : 23,934.87 = 13,831.38 : x
  2. Step 2: Convert to fraction form
    15,999.30/23,934.87 = 13,831.38/x
  3. Step 3: Cross multiply
    15,999.30x = 23,934.87 × 13,831.38
  4. Step 4: Simplify right side
    15,999.30x = 331,052,282.22
  5. Step 5: Solve for x
    x = 331,052,282.22/15,999.30
  6. Step 6: Final answer
    x = 20,691.67

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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.