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Finding the Fourth Proportional to 43,603, 65,405.10 and 12,438.28

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Solution

The fourth proportional to 43,603, 65,405.10 and 12,438.28 is: 18,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,603 : 65,405.10 = 12,438.28 : x
  2. Step 2: Convert to fraction form
    43,603/65,405.10 = 12,438.28/x
  3. Step 3: Cross multiply
    43,603x = 65,405.10 × 12,438.28
  4. Step 4: Simplify right side
    43,603x = 813,526,947.23
  5. Step 5: Solve for x
    x = 813,526,947.23/43,603
  6. Step 6: Final answer
    x = 18,657.59

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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.