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Finding the Fourth Proportional to 18,665.38, 25,758.22 and 10,281.88

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Solution

The fourth proportional to 18,665.38, 25,758.22 and 10,281.88 is: 14,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.38 : 25,758.22 = 10,281.88 : x
  2. Step 2: Convert to fraction form
    18,665.38/25,758.22 = 10,281.88/x
  3. Step 3: Cross multiply
    18,665.38x = 25,758.22 × 10,281.88
  4. Step 4: Simplify right side
    18,665.38x = 264,842,927.05
  5. Step 5: Solve for x
    x = 264,842,927.05/18,665.38
  6. Step 6: Final answer
    x = 14,188.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.