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Finding the Fourth Proportional to 12,595.76, 18,893.94 and 6,022.64

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Solution

The fourth proportional to 12,595.76, 18,893.94 and 6,022.64 is: 9,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.76 : 18,893.94 = 6,022.64 : x
  2. Step 2: Convert to fraction form
    12,595.76/18,893.94 = 6,022.64/x
  3. Step 3: Cross multiply
    12,595.76x = 18,893.94 × 6,022.64
  4. Step 4: Simplify right side
    12,595.76x = 113,791,398.80
  5. Step 5: Solve for x
    x = 113,791,398.80/12,595.76
  6. Step 6: Final answer
    x = 9,034.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.