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Finding the Fourth Proportional to 18,451.68, 25,463.16 and 10,068

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Solution

The fourth proportional to 18,451.68, 25,463.16 and 10,068 is: 13,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,451.68 : 25,463.16 = 10,068 : x
  2. Step 2: Convert to fraction form
    18,451.68/25,463.16 = 10,068/x
  3. Step 3: Cross multiply
    18,451.68x = 25,463.16 × 10,068
  4. Step 4: Simplify right side
    18,451.68x = 256,363,094.88
  5. Step 5: Solve for x
    x = 256,363,094.88/18,451.68
  6. Step 6: Final answer
    x = 13,893.75

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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.