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Finding the Fourth Proportional to 23,200.46, 32,037.90 and 14,831.54

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Solution

The fourth proportional to 23,200.46, 32,037.90 and 14,831.54 is: 20,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.46 : 32,037.90 = 14,831.54 : x
  2. Step 2: Convert to fraction form
    23,200.46/32,037.90 = 14,831.54/x
  3. Step 3: Cross multiply
    23,200.46x = 32,037.90 × 14,831.54
  4. Step 4: Simplify right side
    23,200.46x = 475,171,395.37
  5. Step 5: Solve for x
    x = 475,171,395.37/23,200.46
  6. Step 6: Final answer
    x = 20,481.12

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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.