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Finding the Fourth Proportional to 12,813.66, 19,218.33 and 3,577.50

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Solution

The fourth proportional to 12,813.66, 19,218.33 and 3,577.50 is: 5,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.66 : 19,218.33 = 3,577.50 : x
  2. Step 2: Convert to fraction form
    12,813.66/19,218.33 = 3,577.50/x
  3. Step 3: Cross multiply
    12,813.66x = 19,218.33 × 3,577.50
  4. Step 4: Simplify right side
    12,813.66x = 68,753,575.58
  5. Step 5: Solve for x
    x = 68,753,575.58/12,813.66
  6. Step 6: Final answer
    x = 5,365.65

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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.