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Finding the Fourth Proportional to 13,077, 19,614.60 and 4,311.72

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Solution

The fourth proportional to 13,077, 19,614.60 and 4,311.72 is: 6,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077 : 19,614.60 = 4,311.72 : x
  2. Step 2: Convert to fraction form
    13,077/19,614.60 = 4,311.72/x
  3. Step 3: Cross multiply
    13,077x = 19,614.60 × 4,311.72
  4. Step 4: Simplify right side
    13,077x = 84,572,663.11
  5. Step 5: Solve for x
    x = 84,572,663.11/13,077
  6. Step 6: Final answer
    x = 6,467.28

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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.