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Finding the Fourth Proportional to 13,408.62, 20,112.51 and 3,547.98

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Solution

The fourth proportional to 13,408.62, 20,112.51 and 3,547.98 is: 5,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.62 : 20,112.51 = 3,547.98 : x
  2. Step 2: Convert to fraction form
    13,408.62/20,112.51 = 3,547.98/x
  3. Step 3: Cross multiply
    13,408.62x = 20,112.51 × 3,547.98
  4. Step 4: Simplify right side
    13,408.62x = 71,358,783.23
  5. Step 5: Solve for x
    x = 71,358,783.23/13,408.62
  6. Step 6: Final answer
    x = 5,321.86

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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.