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Finding the Fourth Proportional to 11,667.68, 17,498.52 and 4,272.80

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Solution

The fourth proportional to 11,667.68, 17,498.52 and 4,272.80 is: 6,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.68 : 17,498.52 = 4,272.80 : x
  2. Step 2: Convert to fraction form
    11,667.68/17,498.52 = 4,272.80/x
  3. Step 3: Cross multiply
    11,667.68x = 17,498.52 × 4,272.80
  4. Step 4: Simplify right side
    11,667.68x = 74,767,676.26
  5. Step 5: Solve for x
    x = 74,767,676.26/11,667.68
  6. Step 6: Final answer
    x = 6,408.10

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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.