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Finding the Fourth Proportional to 13,228.34, 19,836.72 and 9,515.06

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Solution

The fourth proportional to 13,228.34, 19,836.72 and 9,515.06 is: 14,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.34 : 19,836.72 = 9,515.06 : x
  2. Step 2: Convert to fraction form
    13,228.34/19,836.72 = 9,515.06/x
  3. Step 3: Cross multiply
    13,228.34x = 19,836.72 × 9,515.06
  4. Step 4: Simplify right side
    13,228.34x = 188,747,581.00
  5. Step 5: Solve for x
    x = 188,747,581.00/13,228.34
  6. Step 6: Final answer
    x = 14,268.43

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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.