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Finding the Fourth Proportional to 13,491.72, 20,231.10 and 7,646.76

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Solution

The fourth proportional to 13,491.72, 20,231.10 and 7,646.76 is: 11,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.72 : 20,231.10 = 7,646.76 : x
  2. Step 2: Convert to fraction form
    13,491.72/20,231.10 = 7,646.76/x
  3. Step 3: Cross multiply
    13,491.72x = 20,231.10 × 7,646.76
  4. Step 4: Simplify right side
    13,491.72x = 154,702,366.24
  5. Step 5: Solve for x
    x = 154,702,366.24/13,491.72
  6. Step 6: Final answer
    x = 11,466.47

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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.