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Finding the Fourth Proportional to 18,712.24, 25,822.65 and 10,214.50

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Solution

The fourth proportional to 18,712.24, 25,822.65 and 10,214.50 is: 14,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.24 : 25,822.65 = 10,214.50 : x
  2. Step 2: Convert to fraction form
    18,712.24/25,822.65 = 10,214.50/x
  3. Step 3: Cross multiply
    18,712.24x = 25,822.65 × 10,214.50
  4. Step 4: Simplify right side
    18,712.24x = 263,765,458.43
  5. Step 5: Solve for x
    x = 263,765,458.43/18,712.24
  6. Step 6: Final answer
    x = 14,095.88

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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.