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Finding the Fourth Proportional to 14,861.34, 22,291.97 and 3,768

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Solution

The fourth proportional to 14,861.34, 22,291.97 and 3,768 is: 5,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.34 : 22,291.97 = 3,768 : x
  2. Step 2: Convert to fraction form
    14,861.34/22,291.97 = 3,768/x
  3. Step 3: Cross multiply
    14,861.34x = 22,291.97 × 3,768
  4. Step 4: Simplify right side
    14,861.34x = 83,996,124.12
  5. Step 5: Solve for x
    x = 83,996,124.12/14,861.34
  6. Step 6: Final answer
    x = 5,651.99

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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.