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Finding the Fourth Proportional to 13,770.40, 20,656.95 and 4,408.06

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Solution

The fourth proportional to 13,770.40, 20,656.95 and 4,408.06 is: 6,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.40 : 20,656.95 = 4,408.06 : x
  2. Step 2: Convert to fraction form
    13,770.40/20,656.95 = 4,408.06/x
  3. Step 3: Cross multiply
    13,770.40x = 20,656.95 × 4,408.06
  4. Step 4: Simplify right side
    13,770.40x = 91,057,023.37
  5. Step 5: Solve for x
    x = 91,057,023.37/13,770.40
  6. Step 6: Final answer
    x = 6,612.52

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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.