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Finding the Fourth Proportional to 12,389.85, 17,078.31 and 9,732.69

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Solution

The fourth proportional to 12,389.85, 17,078.31 and 9,732.69 is: 13,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.85 : 17,078.31 = 9,732.69 : x
  2. Step 2: Convert to fraction form
    12,389.85/17,078.31 = 9,732.69/x
  3. Step 3: Cross multiply
    12,389.85x = 17,078.31 × 9,732.69
  4. Step 4: Simplify right side
    12,389.85x = 166,217,896.95
  5. Step 5: Solve for x
    x = 166,217,896.95/12,389.85
  6. Step 6: Final answer
    x = 13,415.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.