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Finding the Fourth Proportional to 18,712.59, 25,823.27 and 10,214.71

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Solution

The fourth proportional to 18,712.59, 25,823.27 and 10,214.71 is: 14,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.59 : 25,823.27 = 10,214.71 : x
  2. Step 2: Convert to fraction form
    18,712.59/25,823.27 = 10,214.71/x
  3. Step 3: Cross multiply
    18,712.59x = 25,823.27 × 10,214.71
  4. Step 4: Simplify right side
    18,712.59x = 263,777,175.28
  5. Step 5: Solve for x
    x = 263,777,175.28/18,712.59
  6. Step 6: Final answer
    x = 14,096.24

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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.