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Finding the Fourth Proportional to 12,599.34, 17,387.63 and 7,563.97

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Solution

The fourth proportional to 12,599.34, 17,387.63 and 7,563.97 is: 10,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599.34 : 17,387.63 = 7,563.97 : x
  2. Step 2: Convert to fraction form
    12,599.34/17,387.63 = 7,563.97/x
  3. Step 3: Cross multiply
    12,599.34x = 17,387.63 × 7,563.97
  4. Step 4: Simplify right side
    12,599.34x = 131,519,511.69
  5. Step 5: Solve for x
    x = 131,519,511.69/12,599.34
  6. Step 6: Final answer
    x = 10,438.60

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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.