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Finding the Fourth Proportional to 13,532.08, 20,276.85 and 10,408.31

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Solution

The fourth proportional to 13,532.08, 20,276.85 and 10,408.31 is: 15,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.08 : 20,276.85 = 10,408.31 : x
  2. Step 2: Convert to fraction form
    13,532.08/20,276.85 = 10,408.31/x
  3. Step 3: Cross multiply
    13,532.08x = 20,276.85 × 10,408.31
  4. Step 4: Simplify right side
    13,532.08x = 211,047,809.82
  5. Step 5: Solve for x
    x = 211,047,809.82/13,532.08
  6. Step 6: Final answer
    x = 15,596.11

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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.