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Finding the Fourth Proportional to 18,714.50, 25,826.06 and 10,331

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Solution

The fourth proportional to 18,714.50, 25,826.06 and 10,331 is: 14,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714.50 : 25,826.06 = 10,331 : x
  2. Step 2: Convert to fraction form
    18,714.50/25,826.06 = 10,331/x
  3. Step 3: Cross multiply
    18,714.50x = 25,826.06 × 10,331
  4. Step 4: Simplify right side
    18,714.50x = 266,809,025.86
  5. Step 5: Solve for x
    x = 266,809,025.86/18,714.50
  6. Step 6: Final answer
    x = 14,256.81

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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.