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Finding the Fourth Proportional to 12,816.71, 17,687.73 and 7,513.23

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Solution

The fourth proportional to 12,816.71, 17,687.73 and 7,513.23 is: 10,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.71 : 17,687.73 = 7,513.23 : x
  2. Step 2: Convert to fraction form
    12,816.71/17,687.73 = 7,513.23/x
  3. Step 3: Cross multiply
    12,816.71x = 17,687.73 × 7,513.23
  4. Step 4: Simplify right side
    12,816.71x = 132,892,078.17
  5. Step 5: Solve for x
    x = 132,892,078.17/12,816.71
  6. Step 6: Final answer
    x = 10,368.66

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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.