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Finding the Fourth Proportional to 12,618.52, 17,387.94 and 9,768.68

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Solution

The fourth proportional to 12,618.52, 17,387.94 and 9,768.68 is: 13,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.52 : 17,387.94 = 9,768.68 : x
  2. Step 2: Convert to fraction form
    12,618.52/17,387.94 = 9,768.68/x
  3. Step 3: Cross multiply
    12,618.52x = 17,387.94 × 9,768.68
  4. Step 4: Simplify right side
    12,618.52x = 169,857,221.72
  5. Step 5: Solve for x
    x = 169,857,221.72/12,618.52
  6. Step 6: Final answer
    x = 13,460.95

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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.