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Finding the Fourth Proportional to 13,882.59, 20,810.52 and 5,112.72

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Solution

The fourth proportional to 13,882.59, 20,810.52 and 5,112.72 is: 7,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.59 : 20,810.52 = 5,112.72 : x
  2. Step 2: Convert to fraction form
    13,882.59/20,810.52 = 5,112.72/x
  3. Step 3: Cross multiply
    13,882.59x = 20,810.52 × 5,112.72
  4. Step 4: Simplify right side
    13,882.59x = 106,398,361.81
  5. Step 5: Solve for x
    x = 106,398,361.81/13,882.59
  6. Step 6: Final answer
    x = 7,664.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.