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Finding the Fourth Proportional to 13,649.67, 20,459.93 and 9,742.23

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Solution

The fourth proportional to 13,649.67, 20,459.93 and 9,742.23 is: 14,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.67 : 20,459.93 = 9,742.23 : x
  2. Step 2: Convert to fraction form
    13,649.67/20,459.93 = 9,742.23/x
  3. Step 3: Cross multiply
    13,649.67x = 20,459.93 × 9,742.23
  4. Step 4: Simplify right side
    13,649.67x = 199,325,408.39
  5. Step 5: Solve for x
    x = 199,325,408.39/13,649.67
  6. Step 6: Final answer
    x = 14,602.94

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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.