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Finding the Fourth Proportional to 13,509.22, 20,241.95 and 10,228.72

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Solution

The fourth proportional to 13,509.22, 20,241.95 and 10,228.72 is: 15,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.22 : 20,241.95 = 10,228.72 : x
  2. Step 2: Convert to fraction form
    13,509.22/20,241.95 = 10,228.72/x
  3. Step 3: Cross multiply
    13,509.22x = 20,241.95 × 10,228.72
  4. Step 4: Simplify right side
    13,509.22x = 207,049,137.59
  5. Step 5: Solve for x
    x = 207,049,137.59/13,509.22
  6. Step 6: Final answer
    x = 15,326.51

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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.