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Finding the Fourth Proportional to 13,408.76, 20,114.12 and 3,547.97

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Solution

The fourth proportional to 13,408.76, 20,114.12 and 3,547.97 is: 5,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.76 : 20,114.12 = 3,547.97 : x
  2. Step 2: Convert to fraction form
    13,408.76/20,114.12 = 3,547.97/x
  3. Step 3: Cross multiply
    13,408.76x = 20,114.12 × 3,547.97
  4. Step 4: Simplify right side
    13,408.76x = 71,364,278.06
  5. Step 5: Solve for x
    x = 71,364,278.06/13,408.76
  6. Step 6: Final answer
    x = 5,322.21

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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.