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Finding the Fourth Proportional to 23,772.05, 35,669 and 8,986.10

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Solution

The fourth proportional to 23,772.05, 35,669 and 8,986.10 is: 13,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.05 : 35,669 = 8,986.10 : x
  2. Step 2: Convert to fraction form
    23,772.05/35,669 = 8,986.10/x
  3. Step 3: Cross multiply
    23,772.05x = 35,669 × 8,986.10
  4. Step 4: Simplify right side
    23,772.05x = 320,525,200.90
  5. Step 5: Solve for x
    x = 320,525,200.90/23,772.05
  6. Step 6: Final answer
    x = 13,483.28

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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.