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Finding the Fourth Proportional to 30,408.84, 45,613.89 and 13,765.86

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Solution

The fourth proportional to 30,408.84, 45,613.89 and 13,765.86 is: 20,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.84 : 45,613.89 = 13,765.86 : x
  2. Step 2: Convert to fraction form
    30,408.84/45,613.89 = 13,765.86/x
  3. Step 3: Cross multiply
    30,408.84x = 45,613.89 × 13,765.86
  4. Step 4: Simplify right side
    30,408.84x = 627,914,423.80
  5. Step 5: Solve for x
    x = 627,914,423.80/30,408.84
  6. Step 6: Final answer
    x = 20,649.08

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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.