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Finding the Fourth Proportional to 13,408.47, 20,113.74 and 3,547.71

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Solution

The fourth proportional to 13,408.47, 20,113.74 and 3,547.71 is: 5,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.47 : 20,113.74 = 3,547.71 : x
  2. Step 2: Convert to fraction form
    13,408.47/20,113.74 = 3,547.71/x
  3. Step 3: Cross multiply
    13,408.47x = 20,113.74 × 3,547.71
  4. Step 4: Simplify right side
    13,408.47x = 71,357,716.54
  5. Step 5: Solve for x
    x = 71,357,716.54/13,408.47
  6. Step 6: Final answer
    x = 5,321.84

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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.