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Finding the Fourth Proportional to 43,603, 65,405.13 and 12,438.25

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Solution

The fourth proportional to 43,603, 65,405.13 and 12,438.25 is: 18,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,603 : 65,405.13 = 12,438.25 : x
  2. Step 2: Convert to fraction form
    43,603/65,405.13 = 12,438.25/x
  3. Step 3: Cross multiply
    43,603x = 65,405.13 × 12,438.25
  4. Step 4: Simplify right side
    43,603x = 813,525,358.22
  5. Step 5: Solve for x
    x = 813,525,358.22/43,603
  6. Step 6: Final answer
    x = 18,657.55

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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.