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Finding the Fourth Proportional to 12,566.25, 18,858.02 and 4,358.25

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Solution

The fourth proportional to 12,566.25, 18,858.02 and 4,358.25 is: 6,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.25 : 18,858.02 = 4,358.25 : x
  2. Step 2: Convert to fraction form
    12,566.25/18,858.02 = 4,358.25/x
  3. Step 3: Cross multiply
    12,566.25x = 18,858.02 × 4,358.25
  4. Step 4: Simplify right side
    12,566.25x = 82,187,965.67
  5. Step 5: Solve for x
    x = 82,187,965.67/12,566.25
  6. Step 6: Final answer
    x = 6,540.37

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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.