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Finding the Fourth Proportional to 13,626.40, 20,424.64 and 7,770.08

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Solution

The fourth proportional to 13,626.40, 20,424.64 and 7,770.08 is: 11,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.40 : 20,424.64 = 7,770.08 : x
  2. Step 2: Convert to fraction form
    13,626.40/20,424.64 = 7,770.08/x
  3. Step 3: Cross multiply
    13,626.40x = 20,424.64 × 7,770.08
  4. Step 4: Simplify right side
    13,626.40x = 158,701,086.77
  5. Step 5: Solve for x
    x = 158,701,086.77/13,626.40
  6. Step 6: Final answer
    x = 11,646.59

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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.