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Finding the Fourth Proportional to 13,842.77, 20,732.94 and 6,431.63

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Solution

The fourth proportional to 13,842.77, 20,732.94 and 6,431.63 is: 9,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.77 : 20,732.94 = 6,431.63 : x
  2. Step 2: Convert to fraction form
    13,842.77/20,732.94 = 6,431.63/x
  3. Step 3: Cross multiply
    13,842.77x = 20,732.94 × 6,431.63
  4. Step 4: Simplify right side
    13,842.77x = 133,346,495.23
  5. Step 5: Solve for x
    x = 133,346,495.23/13,842.77
  6. Step 6: Final answer
    x = 9,632.94

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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.