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Finding the Fourth Proportional to 12,535.53, 18,804.84 and 3,770.46

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Solution

The fourth proportional to 12,535.53, 18,804.84 and 3,770.46 is: 5,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.53 : 18,804.84 = 3,770.46 : x
  2. Step 2: Convert to fraction form
    12,535.53/18,804.84 = 3,770.46/x
  3. Step 3: Cross multiply
    12,535.53x = 18,804.84 × 3,770.46
  4. Step 4: Simplify right side
    12,535.53x = 70,902,897.03
  5. Step 5: Solve for x
    x = 70,902,897.03/12,535.53
  6. Step 6: Final answer
    x = 5,656.15

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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.