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Finding the Fourth Proportional to 12,780.49, 17,632.18 and 9,431.30

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Solution

The fourth proportional to 12,780.49, 17,632.18 and 9,431.30 is: 13,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.49 : 17,632.18 = 9,431.30 : x
  2. Step 2: Convert to fraction form
    12,780.49/17,632.18 = 9,431.30/x
  3. Step 3: Cross multiply
    12,780.49x = 17,632.18 × 9,431.30
  4. Step 4: Simplify right side
    12,780.49x = 166,294,379.23
  5. Step 5: Solve for x
    x = 166,294,379.23/12,780.49
  6. Step 6: Final answer
    x = 13,011.58

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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.