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Finding the Fourth Proportional to 16,427.15, 24,593.25 and 9,652.25

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Solution

The fourth proportional to 16,427.15, 24,593.25 and 9,652.25 is: 14,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.15 : 24,593.25 = 9,652.25 : x
  2. Step 2: Convert to fraction form
    16,427.15/24,593.25 = 9,652.25/x
  3. Step 3: Cross multiply
    16,427.15x = 24,593.25 × 9,652.25
  4. Step 4: Simplify right side
    16,427.15x = 237,380,075.21
  5. Step 5: Solve for x
    x = 237,380,075.21/16,427.15
  6. Step 6: Final answer
    x = 14,450.47

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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.