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Finding the Fourth Proportional to 12,771.66, 19,149.58 and 5,372.30

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Solution

The fourth proportional to 12,771.66, 19,149.58 and 5,372.30 is: 8,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.66 : 19,149.58 = 5,372.30 : x
  2. Step 2: Convert to fraction form
    12,771.66/19,149.58 = 5,372.30/x
  3. Step 3: Cross multiply
    12,771.66x = 19,149.58 × 5,372.30
  4. Step 4: Simplify right side
    12,771.66x = 102,877,288.63
  5. Step 5: Solve for x
    x = 102,877,288.63/12,771.66
  6. Step 6: Final answer
    x = 8,055.12

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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.