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Finding the Fourth Proportional to 12,890.68, 17,787.57 and 7,224.12

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Solution

The fourth proportional to 12,890.68, 17,787.57 and 7,224.12 is: 9,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.68 : 17,787.57 = 7,224.12 : x
  2. Step 2: Convert to fraction form
    12,890.68/17,787.57 = 7,224.12/x
  3. Step 3: Cross multiply
    12,890.68x = 17,787.57 × 7,224.12
  4. Step 4: Simplify right side
    12,890.68x = 128,499,513.10
  5. Step 5: Solve for x
    x = 128,499,513.10/12,890.68
  6. Step 6: Final answer
    x = 9,968.41

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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.