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Finding the Fourth Proportional to 18,598.28, 25,665.63 and 10,214.78

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Solution

The fourth proportional to 18,598.28, 25,665.63 and 10,214.78 is: 14,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.28 : 25,665.63 = 10,214.78 : x
  2. Step 2: Convert to fraction form
    18,598.28/25,665.63 = 10,214.78/x
  3. Step 3: Cross multiply
    18,598.28x = 25,665.63 × 10,214.78
  4. Step 4: Simplify right side
    18,598.28x = 262,168,764.01
  5. Step 5: Solve for x
    x = 262,168,764.01/18,598.28
  6. Step 6: Final answer
    x = 14,096.40

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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.