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Finding the Fourth Proportional to 14,418.47, 21,614.83 and 7,758.54

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Solution

The fourth proportional to 14,418.47, 21,614.83 and 7,758.54 is: 11,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418.47 : 21,614.83 = 7,758.54 : x
  2. Step 2: Convert to fraction form
    14,418.47/21,614.83 = 7,758.54/x
  3. Step 3: Cross multiply
    14,418.47x = 21,614.83 × 7,758.54
  4. Step 4: Simplify right side
    14,418.47x = 167,699,503.75
  5. Step 5: Solve for x
    x = 167,699,503.75/14,418.47
  6. Step 6: Final answer
    x = 11,630.88

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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.