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Finding the Fourth Proportional to 14,543.38, 21,813.85 and 5,775.94

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Solution

The fourth proportional to 14,543.38, 21,813.85 and 5,775.94 is: 8,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.38 : 21,813.85 = 5,775.94 : x
  2. Step 2: Convert to fraction form
    14,543.38/21,813.85 = 5,775.94/x
  3. Step 3: Cross multiply
    14,543.38x = 21,813.85 × 5,775.94
  4. Step 4: Simplify right side
    14,543.38x = 125,995,474.33
  5. Step 5: Solve for x
    x = 125,995,474.33/14,543.38
  6. Step 6: Final answer
    x = 8,663.42

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