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Finding the Fourth Proportional to 12,784.20, 17,640.93 and 9,428.82

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Solution

The fourth proportional to 12,784.20, 17,640.93 and 9,428.82 is: 13,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.20 : 17,640.93 = 9,428.82 : x
  2. Step 2: Convert to fraction form
    12,784.20/17,640.93 = 9,428.82/x
  3. Step 3: Cross multiply
    12,784.20x = 17,640.93 × 9,428.82
  4. Step 4: Simplify right side
    12,784.20x = 166,333,153.60
  5. Step 5: Solve for x
    x = 166,333,153.60/12,784.20
  6. Step 6: Final answer
    x = 13,010.84

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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.