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Finding the Fourth Proportional to 13,228.25, 19,832.01 and 9,055.63

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Solution

The fourth proportional to 13,228.25, 19,832.01 and 9,055.63 is: 13,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.25 : 19,832.01 = 9,055.63 : x
  2. Step 2: Convert to fraction form
    13,228.25/19,832.01 = 9,055.63/x
  3. Step 3: Cross multiply
    13,228.25x = 19,832.01 × 9,055.63
  4. Step 4: Simplify right side
    13,228.25x = 179,591,335.55
  5. Step 5: Solve for x
    x = 179,591,335.55/13,228.25
  6. Step 6: Final answer
    x = 13,576.35

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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.