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Finding the Fourth Proportional to 13,022.57, 19,534.77 and 6,446.99

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Solution

The fourth proportional to 13,022.57, 19,534.77 and 6,446.99 is: 9,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.57 : 19,534.77 = 6,446.99 : x
  2. Step 2: Convert to fraction form
    13,022.57/19,534.77 = 6,446.99/x
  3. Step 3: Cross multiply
    13,022.57x = 19,534.77 × 6,446.99
  4. Step 4: Simplify right side
    13,022.57x = 125,940,466.84
  5. Step 5: Solve for x
    x = 125,940,466.84/13,022.57
  6. Step 6: Final answer
    x = 9,670.94

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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.