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Finding the Fourth Proportional to 14,662.38, 21,994.61 and 5,897.34

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Solution

The fourth proportional to 14,662.38, 21,994.61 and 5,897.34 is: 8,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.38 : 21,994.61 = 5,897.34 : x
  2. Step 2: Convert to fraction form
    14,662.38/21,994.61 = 5,897.34/x
  3. Step 3: Cross multiply
    14,662.38x = 21,994.61 × 5,897.34
  4. Step 4: Simplify right side
    14,662.38x = 129,709,663.85
  5. Step 5: Solve for x
    x = 129,709,663.85/14,662.38
  6. Step 6: Final answer
    x = 8,846.42

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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.