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Finding the Fourth Proportional to 12,867.29, 17,757.51 and 7,563.81

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Solution

The fourth proportional to 12,867.29, 17,757.51 and 7,563.81 is: 10,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.29 : 17,757.51 = 7,563.81 : x
  2. Step 2: Convert to fraction form
    12,867.29/17,757.51 = 7,563.81/x
  3. Step 3: Cross multiply
    12,867.29x = 17,757.51 × 7,563.81
  4. Step 4: Simplify right side
    12,867.29x = 134,314,431.71
  5. Step 5: Solve for x
    x = 134,314,431.71/12,867.29
  6. Step 6: Final answer
    x = 10,438.44

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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.