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Finding the Fourth Proportional to 18,665.10, 25,757.84 and 10,281.60

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Solution

The fourth proportional to 18,665.10, 25,757.84 and 10,281.60 is: 14,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.10 : 25,757.84 = 10,281.60 : x
  2. Step 2: Convert to fraction form
    18,665.10/25,757.84 = 10,281.60/x
  3. Step 3: Cross multiply
    18,665.10x = 25,757.84 × 10,281.60
  4. Step 4: Simplify right side
    18,665.10x = 264,831,807.74
  5. Step 5: Solve for x
    x = 264,831,807.74/18,665.10
  6. Step 6: Final answer
    x = 14,188.61

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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.