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Finding the Fourth Proportional to 23,902.56, 32,978.87 and 14,336.46

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Solution

The fourth proportional to 23,902.56, 32,978.87 and 14,336.46 is: 19,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.56 : 32,978.87 = 14,336.46 : x
  2. Step 2: Convert to fraction form
    23,902.56/32,978.87 = 14,336.46/x
  3. Step 3: Cross multiply
    23,902.56x = 32,978.87 × 14,336.46
  4. Step 4: Simplify right side
    23,902.56x = 472,800,178.92
  5. Step 5: Solve for x
    x = 472,800,178.92/23,902.56
  6. Step 6: Final answer
    x = 19,780.32

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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.