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Finding the Fourth Proportional to 25,842.78, 35,662.64 and 14,512.50

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Solution

The fourth proportional to 25,842.78, 35,662.64 and 14,512.50 is: 20,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.78 : 35,662.64 = 14,512.50 : x
  2. Step 2: Convert to fraction form
    25,842.78/35,662.64 = 14,512.50/x
  3. Step 3: Cross multiply
    25,842.78x = 35,662.64 × 14,512.50
  4. Step 4: Simplify right side
    25,842.78x = 517,553,990.44
  5. Step 5: Solve for x
    x = 517,553,990.44/25,842.78
  6. Step 6: Final answer
    x = 20,027.02

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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.